A038070 Product_{k>=1} (1+x^k)^a(k) = 1 + 5x.

5, -10, 40, -160, 624, -2580, 11160, -48910, 217000, -976248, 4438920, -20346280, 93900240, -435959820, 2034504992, -9536767660, 44878791360, -211927516500, 1003867701480, -4768372069968, 22706531339280, -108372079190340, 518301258916440, -2483526875798780

Offset

1,1

Links

Seiichi Manyama, Table of n, a(n) for n = 1..1000

N. J. A. Sloane, Weigh transform

Formula

Dirichlet convolution of A038066 with characteristic function of powers of 2.

a(n) = 1/n*(-(-5)^n + Sum_{d<n and d|n} (-1)^(n/d)*d*a(d)). - Seiichi Manyama, Jun 23 2018

Crossrefs

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

Sequence in context: A249059 A163305 A001692 * A364738 A136138 A321307

Adjacent sequences: A038067 A038068 A038069 * A038071 A038072 A038073

Keyword

sign

Author

Christian G. Bower, Jan 04 1999

Status

approved