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