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A290272 Expansion of j(q) * q * Product_{n>=1} ((1 - q^(5*n))/(1 - q^n))^6 where j(q) is the elliptic modular invariant (A000521). 1
1, 750, 201375, 22695250, 998651625, 26031517500, 480182965250, 6889530585750, 81442044063750, 824111047734000, 7333504889261250, 58541361200675250, 425628799655493875, 2852238724568034000, 17785782442113552000, 104010815310940347500 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Steven R. Finch, Modular forms on SL_2(Z), December 28, 2005. [Cached copy, with permission of the author]

FORMULA

Let b(q) = q * Product_{n>=1} ((1 - q^(5*n))/(1 - q^n))^6.

G.f.: j(q) * b(q) = (1 + 250*b(q) + 3125*b(q)^2)^3.

a(n) ~ exp(4*Pi*sqrt(6*n/5)) * 3^(1/4) / (2^(1/4) * 5^(13/4) * n^(3/4)). - Vaclav Kotesovec, Nov 10 2017

CROSSREFS

Cf. A000521, A121591 (b(q)).

Sequence in context: A237798 A015067 A129036 * A291524 A020391 A252807

Adjacent sequences:  A290269 A290270 A290271 * A290273 A290274 A290275

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jul 25 2017

STATUS

approved

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Last modified October 24 17:43 EDT 2021. Contains 348233 sequences. (Running on oeis4.)