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#27 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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#26 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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#25 by Vaclav Kotesovec at Tue Jan 10 12:38:34 EST 2017
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#24 by Vaclav Kotesovec at Tue Jan 10 12:38:27 EST 2017
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Andrew Sills, Rademacher-Type Formulas for Restricted Partition and Overpartition Functions, Ramanujan Journal, 23 (1-3): 253-264, 2010.
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Andrew Sills, <a href="https://works.bepress.com/andrew_sills/40/">Rademacher-Type Formulas for Restricted Partition and Overpartition Functions</a>, Ramanujan Journal, 23 (1-3): 253-264, 2010.
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approved
editing
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#23 by Vaclav Kotesovec at Mon Jan 09 10:03:24 EST 2017
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#22 by Vaclav Kotesovec at Mon Jan 09 10:03:08 EST 2017
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#21 by Vaclav Kotesovec at Mon Jan 09 10:01:27 EST 2017
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a(n) ~ Pi * BesselI(1, sqrt(6*n+2)*Pi/3) / (2*sqrt(18*n+6)) ~ exp(Pi*sqrt(2*n/3)) / (2^(9/4) * 3^(3/4) * n^(3/4)). - _)) * (1 + (-9/(8*Pi) + Pi/3)/sqrt(6*n) + (-5/16 - 45/(256*Pi^2) + Pi^2/108)/n). - _Vaclav Kotesovec_, Nov 14 2015, extended Jan 09 2017
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#20 by Vaclav Kotesovec at Mon Jan 09 09:43:08 EST 2017
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Vaclav Kotesovec, <a href="/A097197/b097197.txt">Table of n, a(n) for n = 0..2000</a>
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#19 by Vaclav Kotesovec at Mon Jan 09 09:40:43 EST 2017
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Andrew Sills, Rademacher-Type Formulas for Restricted Partition and Overpartition Functions, Ramanujan Journal, 23 (1-3): 253-264, 2010.
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approved
editing
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#18 by Michael Somos at Sun Mar 20 19:14:16 EDT 2016
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