A090208 Partial sums of sequence (A090206) of consecutive nonprime Fibonacci numbers.

1, 2, 9, 29, 55, 89, 199, 521, 987, 1597, 3571, 6765, 10946, 17711, 28657, 64079, 121393, 196418, 317811, 514229, 1149851, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155

Offset

0,2

Links

Table of n, a(n) for n=0..29.

Formula

F(0) = 0; F(1) = 1; F(n) = F(n-1) + F(n-2); F(0:9) = 0, 1, 1, 2, 3, 5, 8, 13, 21, 34 nonprimes: 0, 1, 1, 8, 21 sums of consecutive nonprimes: 1, 2, 9, 29

Mathematica

Total /@ Partition[ Select[Fibonacci /@ Range[0, 40], ! PrimeQ[#] &], 2, 1] (* Seth A. Troisi, May 14 2022 *)

Crossrefs

Cf. A090206, A000045.

Sequence in context: A110377 A338436 A041877 * A123058 A212272 A062452

Adjacent sequences: A090205 A090206 A090207 * A090209 A090210 A090211

Keyword

easy,nonn

Author

Felix Tubiana, Jan 22 2004

Extensions

a(29) corrected by Seth A. Troisi, May 13 2022

Status

approved