Tridecanacci Numbers:

Gotta LOVE those Italian babes with mathematical skills. Actually, this Italian babe immigrated from Italy when she was just 3 months old. In fact she still speaks a little Italian - like "spaghetti", "pizza", "lasagna" and "raviolli" fluently. She even know the Latin names of more body parts than I known the English names for.

Anyway she has developed a way of remembering the first 31 terms of the tridecanacci sequence, and she only has to remmber 1 number. Then she takes its inverse, and converts it from a fraction to a decimal expansion. The tridecanacci numbers are formed by a process similar to the Fibonacci numbers. However it starts with 11 zeros, and 2 ones, after that each new term is the sum of the previous 13 terms.

1/999,998,999,998,999,998,999,998,999,998,999,998,999,
998,999,998,999,998,999,998,999,998,999,999 =

0.

000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000001 000001 000002 000004 000008 000016 000032 000064 000128 000256 000512 001024 002048 004095 008189 016376 032748 065488 130960 261888…

000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000001 000001 000002 000004 000008 000016 000032 000064 000128 000256 000512 001024 002048 004095 008189 016376 032748 065488 130960 261888…

The first 31 terms of the tridecanacci
sequence (OEIS A168084).

She really loves the number 13.

David

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