The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A289563

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A289563

Coefficients of 1/(q*(j(q)-1728))^4 where j(q) is the elliptic modular invariant.
(history; published version)

#16 by Vaclav Kotesovec at Wed Mar 07 17:11:17 EST 2018

STATUS

editing

approved

#15 by Vaclav Kotesovec at Wed Mar 07 17:11:03 EST 2018

FORMULA

a(n) ~ c * exp(2*Pi*n) * n^7, where c = Gamma(3/4)^32 * exp(8*Pi) / (55540601303040 * Pi^8) = 0.0001042996202910562374208781457852661312263780276025385904... - Vaclav Kotesovec, Mar 07 2018

#14 by Vaclav Kotesovec at Wed Mar 07 12:24:36 EST 2018

MATHEMATICA

CoefficientList[Series[((256/QPochhammer[-1, x]^8 + x*QPochhammer[-1, x]^16/256)^3 - 1728*x)^(-4), {x, 0, 20}], x] (* Vaclav Kotesovec, Mar 07 2018 *)

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approved

editing

#13 by Vaclav Kotesovec at Sat Jul 08 04:04:47 EDT 2017

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reviewed

approved

#12 by Michel Marcus at Sat Jul 08 04:01:42 EDT 2017

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proposed

reviewed

#11 by Seiichi Manyama at Sat Jul 08 04:01:12 EDT 2017

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editing

proposed

#10 by Seiichi Manyama at Sat Jul 08 04:01:06 EDT 2017

LINKS

Seiichi Manyama, <a href="/A289563/b289563.txt">Table of n, a(n) for n = 0..361</a>

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approved

editing

#9 by Peter Luschny at Sat Jul 08 03:44:31 EDT 2017

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reviewed

approved

#8 by Joerg Arndt at Sat Jul 08 02:52:45 EDT 2017

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proposed

reviewed

#7 by Seiichi Manyama at Sat Jul 08 02:07:40 EDT 2017

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editing

proposed