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#15 by Susanna Cuyler at Thu Jun 21 21:21:14 EDT 2018
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#14 by Jon E. Schoenfield at Wed Jun 20 23:11:13 EDT 2018
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#13 by Jon E. Schoenfield at Wed Jun 20 23:11:10 EDT 2018
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| EXAMPLE
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T16e = 1/q + + 2*q - - 2*q^3 + + 4*q^5 + + 3*q^7 + + 2*q^9 - - 6*q^11 + + 4*q^13 +... + ...
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| STATUS
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proposed
editing
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#12 by G. C. Greubel at Wed Jun 20 17:20:34 EDT 2018
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#11 by G. C. Greubel at Wed Jun 20 17:20:30 EDT 2018
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| MATHEMATICA
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eta[q_]:= q^(1/24)*QPochhammer[q]; nmax = 100; e4D := q^(1/2)*(eta[q]/eta[q^2])^12; T4B := e4D + 64*q/e4D; T8C := (((e4D + 64*q/e4D) /. {q -> q^4}) + O[q]^nmax)^(1/2); a:= CoefficientList[Series[(1 + 4*q + ((T8C - 1) // Normal /. {q -> q^4}) + O[q]^nmax)^(1/2), {q, 0, 60}], q]; Table[a[[n]], {n, 01, 50}] (* G. C. Greubel, Jun 20 2018 *)
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#10 by G. C. Greubel at Wed Jun 20 12:49:55 EDT 2018
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| REFERENCES
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D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).
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| LINKS
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G. C. Greubel, <a href="/A058526/b058526.txt">Table of n, a(n) for n = 0..1000</a>
D. Ford, J. McKay and S. P. Norton, <a href="http://dx.doi.org/10.1080/00927879408825127">More on replicable functions</a>, Comm. Algebra 22, No. 13, 5175-5193 (1994).
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| MATHEMATICA
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eta[q_]:= q^(1/24)*QPochhammer[q]; nmax = 100; e4D := q^(1/2)*(eta[q]/eta[q^2])^12; T4B := e4D + 64*q/e4D; T8C := (((e4D + 64*q/e4D) /. {q -> q^4}) + O[q]^nmax)^(1/2); a:= CoefficientList[Series[(1 + 4*q + ((T8C - 1) // Normal /. {q -> q^4}) + O[q]^nmax)^(1/2), {q, 0, 60}], q]; Table[a[[n]], {n, 0, 50}] (* G. C. Greubel, Jun 20 2018 *)
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| STATUS
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approved
editing
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#9 by Charles R Greathouse IV at Tue Mar 10 10:21:52 EDT 2015
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Discussion
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Tue Mar 10
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| OEIS Server: https://oeis.org/edit/global/2366
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#8 by Russ Cox at Fri Mar 30 16:48:55 EDT 2012
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| AUTHOR
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_N. J. A. Sloane (njas(AT)research.att.com), _, Nov 27, 2000
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Discussion
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Fri Mar 30
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| OEIS Server: https://oeis.org/edit/global/110
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#7 by Russ Cox at Sun Jul 10 18:41:39 EDT 2011
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| LINKS
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<a href="/Sindx_index/Mat.html#McKay_Thompson">Index entries for McKay-Thompson series for Monster simple group</a>
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Discussion
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Sun Jul 10
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| OEIS Server: https://oeis.org/edit/global/57
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#6 by N. J. A. Sloane at Thu Nov 11 07:34:06 EST 2010
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| LINKS
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<a href="="/Sindx_Mat.html#McKay_Thompson">Index entries for McKay-Thompson series for Monster simple group</a>
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| KEYWORD
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sign,new
sign
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