999,997,999,999 - The Pell Sequence

9/01/2015

999,997,999,999

The Pell Numbers or the Pell Sequence: a(0) = 0, a(1) = 1, and if n>1 the a(n) = 2*a(n-1) + a(n-2). The Pell Sequence is a Fibonacci like sequence defined as: a(0) = 0, a(1) = 1, and when n>1 then a(n) = 2 * a(n-1) + a(n-2). 999,997,999,999 1/9999979999999 = 0. 000000  000001  000002  000005  000012  000029  000070  000169  000408  000985  002378  005741  013860  033461  080782  195025  … Written in six digit strings. Accurate to the 15th non-zero term. Compare to OEIS sequence A000129.

Phillip