A303354 Expansion of Product_{k>0} (1+k^2*x^k)^(-1/k).

1, -1, -1, -2, 4, -3, 3, -6, 75, -152, -4, -21, 1136, -1118, -1348, -5846, 20189, -11851, 17440, -49133, 119449, -448210, 72614, 35800, 6048178, -6376555, -5239650, -25634644, 52463464, -20483411, 155646867, -229344925, 664833536, -2469711562, 819287282

Offset

0,4

Comments

This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = 1/n, g(n) = -n^2.

Links

Table of n, a(n) for n=0..34.

Maple

seq(coeff(series(mul((1+k^2*x^k)^(-1/k), k = 1..n), x, n+1), x, n), n = 0..40); # Muniru A Asiru, Apr 22 2018

Crossrefs

Cf. A151954, A303355.

Sequence in context: A174574 A161413 A201049 * A330256 A227418 A278447

Adjacent sequences: A303351 A303352 A303353 * A303355 A303356 A303357

Keyword

sign

Author

Seiichi Manyama, Apr 22 2018

Status

approved