

A112143


McKayThompson series of class 8D for the Monster group.


6



1, 4, 2, 8, 1, 20, 2, 40, 3, 72, 2, 128, 4, 220, 4, 360, 5, 576, 8, 904, 8, 1384, 10, 2088, 11, 3108, 12, 4552, 15, 6592, 18, 9448, 22, 13392, 26, 18816, 29, 26216, 34, 36224, 38, 49700, 42, 67728, 51, 91688, 56, 123392, 66, 165128, 78, 219784, 85, 291072
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OFFSET

0,2


LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000 (terms 0..499 from G. A. Edgar)
D. Alexander, C. Cummins, J. McKay and C. Simons, Completely Replicable Functions, LMS Lecture Notes, 165, ed. Liebeck and Saxl (1992), 8798, annotated and scanned copy.
D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 51755193 (1994).
Index entries for McKayThompson series for Monster simple group


FORMULA

Expansion of q^(1/2)*(eta(q) / eta(q^4))^4 in powers of q.  G. A. Edgar, Apr 02 2017
a(0) = 1, a(n) = (4/n)*Sum_{k=1..n} A046897(k)*a(nk) for n > 0.  Seiichi Manyama, Apr 28 2017


EXAMPLE

T8D = 1/q 4*q +2*q^3 +8*q^5 q^7 20*q^9 2*q^11 +40*q^13 +...


CROSSREFS

The convolution square of this sequence is A007248, except for the constant term: T8D(q)^2 = T4C(q^2)  8  G. A. Edgar, Apr 02 2017
Sequence in context: A029841 * A112151 A112152 A211883 A083489 A065464
Adjacent sequences: A112140 A112141 A112142 * A112144 A112145 A112146


KEYWORD

sign


AUTHOR

Michael Somos, Aug 28 2005


STATUS

approved



