Tuesday, September 1, 2015

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

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