The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A058678 McKay-Thompson series of class 42d for Monster. 1
 1, 1, 2, 2, 4, 5, 7, 8, 12, 14, 20, 23, 31, 37, 47, 56, 71, 84, 104, 122, 151, 178, 215, 252, 303, 355, 423, 492, 582, 676, 795, 920, 1076, 1242, 1445, 1662, 1926, 2210, 2549, 2916, 3353, 3827, 4386, 4992, 5703, 6478, 7379, 8362, 9499, 10742, 12174, 13738, 15533, 17496, 19736, 22190, 24979 (list; graph; refs; listen; history; text; internal format)
 OFFSET -1,3 LINKS G. C. Greubel, Table of n, a(n) for n = -1..1000 D. Ford, J. McKay and S. P. Norton, More on replicable functions, Comm. Algebra 22, No. 13, 5175-5193 (1994). FORMULA Expansion of q^(1/2)*(eta(q^3)*eta(q^7)/(eta(q)*eta(q^21))) in powers of q. - G. C. Greubel, Jun 26 2018 a(n) ~ exp(2*Pi*sqrt(2*n/21)) / (2^(3/4) * 21^(1/4) * n^(3/4)). - Vaclav Kotesovec, Jun 26 2018 EXAMPLE T42d = 1/q + q + 2*q^3 + 2*q^5 + 4*q^7 + 5*q^9 + 7*q^11 + 8*q^13 + 12*q^15 + ... MATHEMATICA eta[q_] := q^(1/24)*QPochhammer[q]; a:= CoefficientList[Series[q^(1/2)*(eta[q^3]*eta[q^7]/(eta[q]*eta[q^21])), {q, 0, 60}], q]; Table[a[n], {n, 0, 50}] (* G. C. Greubel, Jun 26 2018 *) PROG (PARI) q='q+O('q^60); Vec(eta(q^3)*eta(q^7)/(eta(q)*eta(q^21))) \\ G. C. Greubel, Jun 26 2018 CROSSREFS Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc. Sequence in context: A036406 A029007 A338202 * A241410 A324753 A283106 Adjacent sequences:  A058675 A058676 A058677 * A058679 A058680 A058681 KEYWORD nonn AUTHOR N. J. A. Sloane, Nov 27 2000 EXTENSIONS Terms a(12) onward added by G. C. Greubel, Jun 26 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 14 14:50 EDT 2021. Contains 345025 sequences. (Running on oeis4.)