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 A023615 Convolution of Fibonacci numbers and primes. 2
 2, 5, 12, 24, 47, 84, 148, 251, 422, 702, 1155, 1894, 3090, 5027, 8164, 13244, 21467, 34772, 56306, 91149, 147528, 238756, 386367, 625212, 1011676, 1636989, 2648768, 4285864, 6934741, 11220718, 18155586, 29376435, 47532158, 76908732, 124441039, 201349922 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Robert Israel, Table of n, a(n) for n = 0..4775 FORMULA a(n) = Sum_{1<=k<=n+1} A000040(k)*A000045(n+2-k). - Robert Israel, Jan 18 2018 a(n) = a(n-1) + a(n-2) + prime(n+1). - Alois P. Heinz, Feb 19 2023 MAPLE N:= 100: # to get a(0)..a(N) G:= add(ithprime(i)*x^(i-1), i=1..N+1): S:= series(G /(1-x-x^2), x, N+1): seq(coeff(S, x, n), n=0..N); # Robert Israel, Jan 18 2018 # second Maple program: a:= proc(n) option remember; `if`(n<0, 0, a(n-1)+a(n-2)+ithprime(n+1)) end: seq(a(n), n=0..35); # Alois P. Heinz, Feb 19 2023 CROSSREFS Cf. A000040, A000045, A023608. Sequence in context: A116713 A261369 A116714 * A320235 A034483 A267004 Adjacent sequences: A023612 A023613 A023614 * A023616 A023617 A023618 KEYWORD nonn AUTHOR Clark Kimberling STATUS approved

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Last modified September 23 07:35 EDT 2023. Contains 365544 sequences. (Running on oeis4.)