A292134 Main diagonal of A292133.

1, -1, 2, -21, 220, -2705, 40926, -733537, 15124216, -352606050, 9174382490, -263533561852, 8283376452948, -282795708021411, 10420847619031710, -412243715452039440, 17425722339237083120, -783844576340696848341, 37384875796116662077194

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..386

Formula

a(n) = [x^n] Product_{k>=1} 1/(1 + n*x^k).

a(n) ~ (-1)^n * n^n * (1 - 1/n + 2/n^2 - 3/n^3 + 5/n^4 - 7/n^5 + 11/n^6 - 15/n^7 + 22/n^8 - 30/n^9 + 42/n^10 - ...), for coefficients, see A000041. - Vaclav Kotesovec, Aug 21 2018

Prog

(PARI) {a(n) = polcoeff(1/prod(k=1, n, 1+n*x^k+x*O(x^n)), n)}

Crossrefs

Cf. A124577, A291698.

Sequence in context: A131698 A163068 A109684 * A364979 A137287 A155872

Adjacent sequences: A292131 A292132 A292133 * A292135 A292136 A292137

Keyword

sign

Author

Seiichi Manyama, Sep 09 2017

Status

approved