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A265829 Expansion of Product_{k>=1} 1/(1 - (4*k-2)*x^(4*k-2)). 7
1, 0, 2, 0, 4, 0, 14, 0, 28, 0, 66, 0, 168, 0, 350, 0, 760, 0, 1754, 0, 3692, 0, 7766, 0, 17076, 0, 35282, 0, 73232, 0, 156758, 0, 320768, 0, 658978, 0, 1380612, 0, 2808534, 0, 5732780, 0, 11849002, 0, 23997576, 0, 48701918, 0, 99744056, 0, 201405042 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..5000

FORMULA

If n is even, then a(n) ~ c * 2^(n/2), where c = 6.8748052998532604456256851165148110527112306899116599334584... .

MATHEMATICA

nmax = 40; CoefficientList[Series[Product[1/(1 - (4*k-2)*x^(4*k-2)), {k, 1, nmax}], {x, 0, nmax}], x]

CROSSREFS

Cf. A067553, A265820, A265821, A265828, A265830.

Sequence in context: A111757 A286122 A286776 * A022896 A100225 A007420

Adjacent sequences:  A265826 A265827 A265828 * A265830 A265831 A265832

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Dec 16 2015

STATUS

approved

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Last modified June 23 23:28 EDT 2021. Contains 345403 sequences. (Running on oeis4.)