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A303354 Expansion of Product_{k>0} (1+k^2*x^k)^(-1/k). 1
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 (list; graph; refs; listen; history; text; internal format)
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 * A227418 A278447 A235590

Adjacent sequences:  A303351 A303352 A303353 * A303355 A303356 A303357

KEYWORD

sign

AUTHOR

Seiichi Manyama, Apr 22 2018

STATUS

approved

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Last modified October 17 15:01 EDT 2019. Contains 328116 sequences. (Running on oeis4.)