A352479 Expansion of g.f.: 1/Sum_{p odd prime} x^p (odd powers only).

1, -1, 0, 1, -2, 1, 2, -5, 4, 3, -12, 14, 0, -26, 40, -15, -49, 104, -73, -77, 254, -256, -64, 569, -773, 167, 1154, -2109, 1184, 2008, -5307, 4623, 2487, -12350, 14756, -467, -26278, 41941, -17475, -49446, 109290, -80366, -74387, 263398, -275660, -51126, 584485, -820238

Offset

-2,5

Links

Table of n, a(n) for n=-2..45.

Formula

a(-2) = 1; a(n) = -Sum_{k=1..n+2} A010051(2*k+3) * a(n-k).

Example

G.f.: 1/x^3 - 1/x + x^3 - 2*x^5 + x^7 + 2*x^9 - 5*x^11 + ... .

Prog

(PARI) my(N=66, x='x+O('x^N)); Vec(1/sum(k=1, N, isprime(2*k-1)*x^k))
(PARI) a(n) = if(n==-2, 1, -sum(k=1, n+2, isprime(2*k+3)*a(n-k)));

Crossrefs

Cf. A000040, A002124, A010051, A352476.

Cf. A351317, A101264, A002372, A087916.

Sequence in context: A078016 A078046 A319200 * A084600 A216760 A318724

Adjacent sequences: A352476 A352477 A352478 * A352480 A352481 A352482

Keyword

sign

Author

Seiichi Manyama, Mar 17 2022

Status

approved