A302238 Expansion of Product_{k>=1} ((1 + x^k)/(1 - x^k))^prime(k).

1, 4, 14, 46, 136, 382, 1022, 2626, 6530, 15784, 37218, 85842, 194146, 431358, 943038, 2031454, 4316884, 9058662, 18787730, 38542526, 78264298, 157403290, 313712482, 619919350, 1215125262, 2363570168, 4563951858, 8751621598, 16670498062, 31553539214, 59361428202

Offset

0,2

Comments

Convolution of the sequences A030009 and A061152.

Links

Table of n, a(n) for n=0..30.

N. J. A. Sloane, Transforms

Formula

G.f.: Product_{k>=1} ((1 + x^k)/(1 - x^k))^A000040(k).

Mathematica

nmax = 30; CoefficientList[Series[Product[((1 + x^k)/(1 - x^k))^Prime[k], {k, 1, nmax}], {x, 0, nmax}], x]

Crossrefs

Cf. A000040, A015128, A030009, A061152, A156616, A206622, A206623, A206624, A260916, A261386, A261452, A261519, A261520, A301554, A301555.

Sequence in context: A153480 A229007 A232060 * A171851 A117916 A054449

Adjacent sequences: A302235 A302236 A302237 * A302239 A302240 A302241

Keyword

nonn

Author

Ilya Gutkovskiy, Apr 03 2018

Status

approved