tag:blogger.com,1999:blog-6505956533553357568.post1333538823017544115..comments2023-10-29T03:42:22.873-07:00Comments on Mathematical Mystery Tour: A Lovely Assortment of Sequence Numbers to Share with Your StudentsDavidhttp://www.blogger.com/profile/00729777771730246668noreply@blogger.comBlogger20125tag:blogger.com,1999:blog-6505956533553357568.post-2022852918719410612018-01-17T05:17:13.349-08:002018-01-17T05:17:13.349-08:0019,753,082,469,136 produces a list of the multiple...19,753,082,469,136 produces a list of the multiples of 50625 , written in 7 digit strings.<br /><br />1,975,308,602,469,136 produces a list of the multiples of 50625 , written in 8 digit strings.<br /><br />197,530,863,802,469,136 produces a list of the multiples of 50625 , written in 9 digit strings.<br /><br />19,753,086,415,802,469,136 produces a list of the multiples of 50625 , written in 10 digit strings.<br /><br />1,975,308,641,935,802,469,136 produces a list of the multiples of 50625 , written in 11 digit strings.<br /><br />197,530,864,197,135,802,469,136 produces a list of the multiples of 50625 , written in 12 digit strings.<br /><br />3,086,358,025 produces a list of the multiples of 324 , written in 5 digit strings.<br /><br />308,641,358,025 produces a list of the multiples of 324 , written in 6 digit strings.<br /><br />30,864,191,358,025 produces a list of the multiples of 324 , written in 7 digit strings.<br /><br />3,086,419,691,358,025 produces a list of the multiples of 324 , written in 8 digit strings.<br /><br />308,641,974,691,358,025 produces a list of the multiples of 324 , written in 9 digit strings.<br /><br />30,864,197,524,691,358,025 produces a list of the multiples of 324 , written in 10 digit strings.<br /><br />3,086,419,753,024,691,358,025 produces a list of the multiples of 324 , written in 11 digit strings.<br /><br />308,641,975,308,024,691,358,025 produces a list of the multiples of 324 , written in 12 digit strings.<br /><br />4,444,355,556 produces a list of the multiples of 225 , written in 5 digit strings.<br /><br />444,443,555,556 produces a list of the multiples of 225 , written in 6 digit strings.<br /><br />44,444,435,555,556 produces a list of the multiples of 225 , written in 7 digit strings.<br /><br />4,444,444,355,555,556 produces a list of the multiples of 225 , written in 8 digit strings.<br /><br />444,444,443,555,555,556 produces a list of the multiples of 225 , written in 9 digit strings.<br /><br />44,444,444,435,555,555,556 produces a list of the multiples of 225 , written in 10 digit strings.<br /><br />4,444,444,444,355,555,555,556 produces a list of the multiples of 225 , written in 11 digit strings.<br /><br />444,444,444,443,555,555,555,556 produces a list of the multiples of 225 , written in 12 digit strings.<br /><br />7,901,234,409,876,544 produces a list of the multiples of 1265625 , written in 8 digit strings.<br /><br />790,123,455,209,876,544 produces a list of the multiples of 1265625 , written in 9 digit strings.<br /><br />79,012,345,663,209,876,544 produces a list of the multiples of 1265625 , written in 10 digit strings.<br /><br />7,901,234,567,743,209,876,544 produces a list of the multiples of 1265625 , written in 11 digit strings.<br /><br />790,123,456,788,543,209,876,544 produces a list of the multiples of 1265625 , written in 12 digit strings.<br /><br /><br />81 produces a digital sequence that counts from 0 to 7 , written in 1 digit strings.<br /><br />9,801 produces a digital sequence that counts from 00 to 97 , written in 2 digit strings.<br /><br />998,001 produces a digital sequence that counts from 000 to 997 , written in 3 digit strings.<br /><br />99,980,001 produces a digital sequence that counts from 0000 to 9997 , written in 4 digit strings.<br /><br />9,999,800,001 produces a digital sequence that counts from 00000 to 99997 , written in 5 digit strings.<br /><br />999,998,000,001 produces a digital sequence that counts from 000000 to 999997 , written in 6 digit strings.<br /><br />99,999,980,000,001 produces a digital sequence that counts from 0000000 to 9999997 , written in 7 digit strings.<br /><br />9,999,999,800,000,001 produces a digital sequence that counts from 00000000 to 99999997 , written in 8 digit strings.<br /><br />999,999,998,000,000,001 produces a digital sequence that counts from 000000000 to 999999997 , written in 9 digit strings.<br /><br />99,999,999,980,000,000,001 produces a digital sequence that counts from 0000000000 to 9999999997 , written in 10 digit strings.<br /><br />9,999,999,999,800,000,000,001 produces a digital sequence that counts from 00000000000 to 99999999997 , written in 11 digit strings.<br /><br />999,999,999,998,000,000,000,001 produces a digital sequence that counts from 000000000000 to 999999999997 , written in 12 digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-58572334370474697042018-01-17T05:12:13.912-08:002018-01-17T05:12:13.912-08:00110,889 produces a list of the multiples of 9 , wr...110,889 produces a list of the multiples of 9 , written in 3 digit strings.<br /><br />11,110,889 produces a list of the multiples of 9 , written in 4 digit strings.<br /><br />1,111,088,889 produces a list of the multiples of 9 , written in 5 digit strings.<br /><br />111,110,888,889 produces a list of the multiples of 9 , written in 6 digit strings.<br /><br />11,111,108,888,889 produces a list of the multiples of 9 , written in 7 digit strings.<br /><br />1,111,111,088,888,889 produces a list of the multiples of 9 , written in 8 digit strings.<br /><br />111,111,110,888,888,889 produces a list of the multiples of 9 , written in 9 digit strings.<br /><br />11,111,111,108,888,888,889 produces a list of the multiples of 9 , written in 10 digit strings.<br /><br />1,111,111,111,088,888,888,889 produces a list of the multiples of 9 , written in 11 digit strings.<br /><br />111,111,111,110,888,888,888,889 produces a list of the multiples of 9 , written in 12 digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-59495262351826391592018-01-17T05:05:33.887-08:002018-01-17T05:05:33.887-08:00493,817,284 produces a list of the multiples of 20...493,817,284 produces a list of the multiples of 2025 , written in 5 digit strings.<br /><br />49,382,617,284 produces a list of the multiples of 2025 , written in 6 digit strings.<br /><br />4,938,270,617,284 produces a list of the multiples of 2025 , written in 7 digit strings.<br /><br />493,827,150,617,284 produces a list of the multiples of 2025 , written in 8 digit strings.<br /><br />49,382,715,950,617,284 produces a list of the multiples of 2025 , written in 9 digit strings.<br /><br />4,938,271,603,950,617,284 produces a list of the multiples of 2025 , written in 10 digit strings.<br /><br />493,827,160,483,950,617,284 produces a list of the multiples of 2025 , written in 11 digit strings.<br /><br />49,382,716,049,283,950,617,284 produces a list of the multiples of 2025 , written in 12 digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-4200483309564750452018-01-17T04:56:20.966-08:002018-01-17T04:56:20.966-08:0012,321 produces a list of the multiples of 81 , wr...12,321 produces a list of the multiples of 81 , written in 3 digit strings.<br /><br />1,234,321 produces a list of the multiples of 81 , written in 4 digit strings.<br /><br />123,454,321 produces a list of the multiples of 81 , written in 5 digit strings.<br /><br />12,345,654,321 produces a list of the multiples of 81 , written in 6 digit strings.<br /><br />1,234,567,654,321 produces a list of the multiples of 81 , written in 7 digit strings.<br /><br />123,456,787,654,321 produces a list of the multiples of 81 , written in 8 digit strings.<br /><br />12,345,678,987,654,321 produces a list of the multiples of 81 , written in 9 digit strings.<br /><br />1,234,567,900,987,654,321 produces a list of the multiples of 81 , written in 10 digit strings.<br /><br />123,456,790,120,987,654,321 produces a list of the multiples of 81 , written in 11 digit strings.<br /><br />12,345,679,012,320,987,654,321 produces a list of the multiples of 81 , written in 12 digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-83462179769286834792017-11-30T05:52:54.269-08:002017-11-30T05:52:54.269-08:00999,999,999,987,000,000,000,077,999,999,999,714,00...999,999,999,987,000,000,000,077,999,999,999,714,000,000,000,714,999,999,998,713,000,000,001,715,999,999,998,284,000,000,001,286,999,999,999,285,000,000,000,285,999,999,999,922,000,000,000,012,999,999,999,999 produces a list of the values of C(n,12) (the number of ways to select 12 items from a group of n items) , written in 12 digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-52830274834156243542017-11-30T05:52:31.435-08:002017-11-30T05:52:31.435-08:00999,999,999,998,999,999,999,998,999,999,999,998,99...999,999,999,998,999,999,999,998,999,999,999,998,999,999,999,998,999,999,999,998,999,999,999,998,999,999,999,998,999,999,999,998,999,999,999,998,999,999,999,998,999,999,999,998,999,999,999,999 shows a list of the Dodecanacci Sequence , written in 12 digit strings.<br /><br /><br />999,999,999,998,999,999,999,997,999,999,999,996,999,999,999,995,999,999,999,994,999,999,999,993,999,999,999,992,999,999,999,991,999,999,999,990,999,999,999,989,999,999,999,988,999,999,999,988 shows a list of the Dodecanacci like sequence defined as: a(0) = a(1) = a(2) = a(3) = a(4) = a(5) = a(6) = a(7) = a(8) = a(9) = a(10) = 0 , a(11) = 1 , and when n>11 then a(n) = a(n-1) + 2*a(n-2) + 3*a(n-3) + 4*a(n-4) + 5*a(n-5) + 6*a(n-6) + 7*a(n-7) + 8*a(n-8) + 9*a(n-9) + 10*a(n-10) + 11*a(n-11) + 12*a(n-12) , written in 12 digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-11554067652761472912017-11-24T06:10:01.639-08:002017-11-24T06:10:01.639-08:0012,345,678,987,654,321 produces a list of the mult...12,345,678,987,654,321 produces a list of the multiples of 81 , written in 9 digit strings.<br /><br /><br />12,345,679,012,320,987,654,321 produces a list of the multiples of 81 , written in 12 digit strings.<br /><br /><br />12,345,679,012,345,678,987,654,320,987,654,321 produces a list of the multiples of 81 , written in 18 digit strings.<br /><br /><br />120,481,927,710,843,373,493,975,903,614,457,831,325,298,795,180,722,891,566,265,060,240,963,855,421,686,747 produces a list of the multiples of 83 , written in 41 digit strings.<br /><br /><br />1,149,425,287,356,321,839,080,459,769,885,057,471,264,367,816,091,954,023 produces a list of the multiples of 87 , written in 28 digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-45637747828270079122017-11-24T06:07:59.913-08:002017-11-24T06:07:59.913-08:0012,987,012,986,987,012,987,013 produces a list of ...12,987,012,986,987,012,987,013 produces a list of the multiples of 77 , written in 12 digit strings.<br /><br />Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-9718597373669484932017-11-24T06:07:14.112-08:002017-11-24T06:07:14.112-08:001,694,915,254,237,288,135,593,220,338,983,050,847,...1,694,915,254,237,288,135,593,220,338,983,050,847,457,627,118,644,067,796,609,830,508,474,576,271,186,440,677,966,101,694,915,254,237,288,135,593,220,339 produces a list of the multiples of 59 , written in 58 digit strings.<br /><br /><br />1,639,344,262,295,081,967,213,114,754,098,360,655,737,704,918,032,786,885,245,898,360,655,737,704,918,0327,868,852,459,016,393,442,622,950,819,672,131,147,541 produces a list of the multiples of 61 , written in 60 digit strings.<br /><br />15,873,015,872,984,126,984,127 produces a list of the multiples of 63 , written in 12 digit strings.<br /><br />14,925,373,134,328,358,208,955,223,880,596,985,074,626,865,671,641,791,044,776,119,403 produces a list of the multiples of 67 , written in 33 digit strings.<br /><br />140,845,070,422,535,211,267,605,633,802,816,898,591,549,295,774,647,887,323,943,661,971,831 produces a list of the multiples of 71 , written in 35 digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-81584677092708127862017-11-24T06:06:11.352-08:002017-11-24T06:06:11.352-08:002,127,659,574,468,085,106,382,978,723,404,255,319,...2,127,659,574,468,085,106,382,978,723,404,255,319,148,936,169,787,234,042,553,191,489,361,702,127,659,574,468,085,106,383 produces a list of the multiples of 47 , written in 46 digit strings.<br /><br />20,408,163,265,306,122,448,979,591,836,734,693,877,550,979,591,836,734,693,877,551,020,408,163,265,306,122,449 produces a list of the multiples of 49 , written in 42 digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-70077165188650198032017-11-24T06:05:41.934-08:002017-11-24T06:05:41.934-08:002,439,024,389,756,097,561 produces a list of the m...2,439,024,389,756,097,561 produces a list of the multiples of 41 , written in 10 digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-77433466328535754582017-11-24T06:05:28.292-08:002017-11-24T06:05:28.292-08:003,448,275,862,068,965,517,241,379,309,655,172,413,...3,448,275,862,068,965,517,241,379,309,655,172,413,793,103,448,275,862,069 produces a list of the multiples of 29 , written in 28 digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-69327414431516350302017-11-24T06:05:11.160-08:002017-11-24T06:05:11.160-08:00909,090,890,909,091 produces a list of the multipl...909,090,890,909,091 produces a list of the multiples of 11, written in 8 digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-73045419478805258592017-11-04T04:41:59.505-07:002017-11-04T04:41:59.505-07:00The fraction 1234567901234567902485185185185185185...The fraction 12345679012345679024851851851851851852442469135802469135808088790123456790123472967333333333333333349510543209876543209882162864197530864197531454814814814814814814827320987654320987654321/12345679012345679012209876543209876543210555555555555555555553518518518518518518522592592592592592592586888888888888888888894592592592592592592588518518518518518518520555555555555555555554876543209876543209876679012345679012345679 produces a digital expansion that shows the 10th powers. , written in 21 digit strings.<br /><br />The fraction 12345679012345679037481481481481481483365888888888888888916092444444444444444564668074074074074074268200592592592592592712816222222222222222249425777777777777777779662185185185185185185210320987654320987654321/12345679012345679012197530864197530864198345679012345679012342962962962962962962969074074074074074074064296296296296296296307703703703703703703693925925925925925925932037037037037037037034320987654320987654321802469135802469135802320987654320987654321 produces a digital expansion that shows the 11th powers. , written in 21 digit strings.<br /><br />The fraction 53444497888942333386996045107156218267329404001443001443001443001987477152477152477152480696834696168029501362843381555555555555555555564240943081609748276414946625967291967291967291967836443001443001443001443027003954892843781732670621777724333279888835444391/53444497888942333386777136443803110469777136447971781305114638447971766019988242210464432686693121693121693121693121624338624338624338624338716049382716049382716049291005291005291005291005359788359788359788359788321575543797766019988242225749559082892416225749554914221580888247554914222275666720111164555609 produces a digital expansion that shows the 12th powers. , written in 24 digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-34797548547153516662017-11-04T04:39:15.831-07:002017-11-04T04:39:15.831-07:00The fraction 158730158749206349206538253968254351...The fraction 15873015874920634920653825396825435174603174622079365079366984126984127/15873015872888888888889333333333332444444444445555555555554666666666667111111111110984126984127 produces a digital expansion that shows the 7th powers. , written in 12 digit strings.<br /><br />The fraction 111111111111138555555555556032555555555557291000000000001735444444444444921444444444444471888888888888889/111111111111110111111111111115111111111111101777777777777791777777777777763777777777777787111111111111107111111111111112111111111111111 produces a digital expansion that shows the 8th powers. , written in 15 digit strings.<br /><br />The fraction 1763668430335097887125220458553817650793650793650949266313932980599922733686067019400508349206349206349232112874779541446208998236331569664903/1763668430335096984126984126984127063492063492063491851851851851851852222222222222222221777777777777777778148148148148148147936507936507936508015873015873015872998236331569664903 produces a digital expansion that shows the 9th powers. , written in 18 digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-3426569193409778842017-11-04T04:36:20.998-07:002017-11-04T04:36:20.998-07:00The fraction 333333334666666667/333333332000000001...The fraction 333333334666666667/333333332000000001999999998666666667 produces a digital expansion that shows the cube. , written in 9 digit strings.<br /><br />The fraction 333333333337000000000003666666666667/333333333331666666666669999999999996666666666668333333333333 produces a digital expansion that shows the 4th powers. , written in 12 digit strings.<br /><br />The fraction 333333333342000000000022000000000008666666666667/333333333331333333333338333333333326666666666671666666666664666666666667 produces a digital expansion that shows the 5th powers. , written in 12 digit strings.<br /><br />The fraction 111111111117444444444478000000000033555555555561888888888889/111111111110333333333335666666666662777777777781666666666664333333333334111111111111 produces a digital expansion that shows the 6th powers. , written in 12 digit strings.<br /><br />Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-5311236741792849232017-09-26T15:25:59.901-07:002017-09-26T15:25:59.901-07:0011Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-83745817081735203872017-06-18T04:11:27.000-07:002017-06-18T04:11:27.000-07:00The fraction 333,346,666,700,000 / 33,332,000,019,...The fraction 333,346,666,700,000 / 33,332,000,019,999,866,667 produces a digital expansion that shows the cubes (13, 23, 33, …), written in five digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-73555229417985992112017-04-19T06:45:42.580-07:002017-04-19T06:45:42.580-07:009,089,091 produces a list of the multiples of 11, ...9,089,091 produces a list of the multiples of 11, written in 4 digit strings.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6505956533553357568.post-33412484060460688072017-04-19T06:35:43.905-07:002017-04-19T06:35:43.905-07:00142,857,142,856,857,142,857,143 produces a list of...142,857,142,856,857,142,857,143 produces a list of the multiples of seven, written in twelve digit strings.Anonymousnoreply@blogger.com