A038064 Product_{k>=1} 1/(1 - x^k)^a(k) = 1 + 3x.

3, -6, 8, -18, 48, -124, 312, -810, 2184, -5928, 16104, -44220, 122640, -341796, 956576, -2690010, 7596480, -21524412, 61171656, -174336264, 498111952, -1426419852, 4093181688, -11767874940, 33891544368, -97764131640

Offset

1,1

Links

Seiichi Manyama, Table of n, a(n) for n = 1..2000

N. J. A. Sloane, Euler transform

Formula

G.f.: Sum_{n>=1} moebius(n)*log(1 + 3*x^n)/n, where moebius(n)=A008683(n). - Paul D. Hanna, Oct 13 2010

Prog

(PARI) {a(n)=polcoeff(sum(k=1, n, moebius(k)/k*log(1+3*x^k+x*O(x^n))), n)} \\ Paul D. Hanna, Oct 13 2010

Crossrefs

Cf. A038063, A038064, A038065, A038066, A038067, A038068, A038069, A038070.

Sequence in context: A068979 A101060 A278486 * A093899 A306157 A262613

Adjacent sequences: A038061 A038062 A038063 * A038065 A038066 A038067

Keyword

sign

Author

Christian G. Bower, Jan 04 1999

Status

approved