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#18 by Charles R Greathouse IV at Fri Mar 12 22:24:43 EST 2021
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M. Michael Somos, <a href="/A010815/a010815.txt">Introduction to Ramanujan theta functions</a>
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Discussion
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| Fri Mar 12
| 22:24
| OEIS Server: https://oeis.org/edit/global/2897
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#17 by N. J. A. Sloane at Wed Nov 13 21:58:47 EST 2019
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M. Somos, <a href="http://somos.crg4.com="/A010815/multiqa010815.htmltxt">Introduction to Ramanujan theta functions</a>
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Discussion
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| Wed Nov 13
| 21:58
| OEIS Server: https://oeis.org/edit/global/2832
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#16 by Susanna Cuyler at Thu May 10 23:06:35 EDT 2018
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#15 by Michel Marcus at Thu May 10 00:59:02 EDT 2018
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#14 by Michel Marcus at Thu May 10 00:58:59 EDT 2018
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M. Somos, <a href="http://cissomos.csuohiocrg4.edu/~somoscom/multiq.pdfhtml">Introduction to Ramanujan theta functions</a>
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proposed
editing
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#13 by G. C. Greubel at Thu May 10 00:52:29 EDT 2018
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#12 by G. C. Greubel at Thu May 10 00:51:49 EDT 2018
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G. C. Greubel, <a href="/A096920/b096920.txt">Table of n, a(n) for n = 0..1000</a>
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eta[q_]:= q^(1/24)*QPochhammer[q]; a:= CoefficientList[Series[q^(-1/12) *eta[q^2]^4/(eta[q]^2*eta[q^4]), {q, 0, 50}], q]; Table[a[[n]], {n, 0, 50}] (* G. C. Greubel, May 09 2018 *)
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approved
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#11 by Vaclav Kotesovec at Mon Sep 07 11:07:28 EDT 2015
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#10 by Vaclav Kotesovec at Mon Sep 07 11:04:18 EDT 2015
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a(n) ~ exp(Pi*sqrt(n/6)) / (2*sqrt(2*n)). - Vaclav Kotesovec, Sep 07 2015
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#9 by Vaclav Kotesovec at Mon Sep 07 11:01:38 EDT 2015
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nmax = 40; CoefficientList[Series[Product[(1 - x^(4*k)) * (1 + x^(2*k-1))^2, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Sep 07 2015 *)
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approved
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