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A285047 Expansion of Product_{k>=1} 1/(1-x^(k^2))^k. 8
1, 1, 1, 1, 3, 3, 3, 3, 6, 9, 9, 9, 13, 19, 19, 19, 28, 37, 43, 43, 57, 69, 81, 81, 100, 132, 150, 160, 184, 236, 260, 280, 319, 391, 460, 490, 565, 657, 771, 811, 922, 1084, 1243, 1363, 1510, 1781, 1985, 2185, 2388, 2775, 3159, 3439, 3832, 4335, 4963, 5323 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..10000

FORMULA

log(a(n)) ~ Pi*sqrt(n/3).

MATHEMATICA

nmax=100; CoefficientList[Series[Product[1/(1-x^(k^2))^k, {k, 1, nmax}], {x, 0, nmax}], x]

CROSSREFS

Cf. A000219, A001156, A023871, A266941, A281790.

Sequence in context: A255131 A280453 A289903 * A263137 A320846 A277515

Adjacent sequences:  A285044 A285045 A285046 * A285048 A285049 A285050

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Apr 15 2017

STATUS

approved

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Last modified July 18 19:00 EDT 2019. Contains 325144 sequences. (Running on oeis4.)