The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A058613 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A058613

McKay-Thompson series of class 30B for the Monster group with a(0) = 0.
(history; published version)

#28 by Susanna Cuyler at Fri Jun 22 15:11:32 EDT 2018

STATUS

proposed

approved

#27 by G. C. Greubel at Fri Jun 22 13:46:03 EDT 2018

STATUS

editing

proposed

#26 by G. C. Greubel at Fri Jun 22 13:46:00 EDT 2018

LINKS

G. C. Greubel, <a href="/A058613/b058613.txt">Table of n, a(n) for n = -1..2500</a>

#25 by G. C. Greubel at Fri Jun 22 13:44:03 EDT 2018

FORMULA

Expansion of A + 3 + 1/A, where A := (eta(q)*eta(q^6)*eta(q^10)*eta(q^15] )/( eta(q^2)*eta(q^3)*eta(q^5)*eta(q^30)))^3, in powers of q. - G. C. Greubel, Jun 22 2018

MATHEMATICA

eta[q_]:= q^(1/24)*QPochhammer[q]; A := (eta[q]*eta[q^6]*eta[q^10]* eta[q^15]/(eta[q^2]*eta[q^3]*eta[q^5]*eta[q^30]))^3; a:=CoefficientList[ Series[q*(A + 3 + 1/A), {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 22 2018 *)

STATUS

approved

editing

#24 by Vaclav Kotesovec at Thu Sep 07 04:46:18 EDT 2017

STATUS

editing

approved

#23 by Vaclav Kotesovec at Thu Sep 07 04:43:44 EDT 2017

FORMULA

a(n) ~ exp(2*Pi*sqrt(2*n/15)) / (2^(3/4) * 15^(1/4) * n^(3/4)). - Vaclav Kotesovec, Sep 07 2017

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approved

editing

#22 by Alois P. Heinz at Sat Nov 14 04:45:04 EST 2015

STATUS

proposed

approved

#21 by Michel Marcus at Sat Nov 14 03:49:15 EST 2015

STATUS

editing

proposed

#20 by Michel Marcus at Sat Nov 14 03:49:09 EST 2015

REFERENCES

D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).

LINKS

D. Ford, J. McKay and S. P. Norton, <a href="http://dx.doi.org/10.1080/00927879408825127">More on replicable functions</a>, Commun. Algebra 22, No. 13, 5175-5193 (1994).

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proposed

editing

#19 by Jean-François Alcover at Sat Nov 14 03:41:03 EST 2015

STATUS

editing

proposed