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

Author

Felix Tubiana, Jan 22 2004

Keywords

• easy
• nonn

Crossrefs

Cf. A090206, A000045.

Programs

Mathematica

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

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

Extensions

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