Peggy Sue Does It Again

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…

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

She really loves the number 13.

David