

A112145


McKayThompson series of class 8c for the Monster group.


3



1, 8, 6, 48, 15, 168, 26, 496, 51, 1296, 102, 3072, 172, 6840, 276, 14448, 453, 29184, 728, 56880, 1128, 107472, 1698, 197616, 2539, 354888, 3780, 624048, 5505, 1076736, 7882, 1826416, 11238, 3050400, 15918, 5022720, 22259, 8163152, 30810
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OFFSET

0,2


COMMENTS

This sequence agrees with A058088 except for alternating signs: T8c(q) = i*T8b(i*q).  G. A. Edgar, Mar 25 2017


REFERENCES

D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 51755193 (1994).


LINKS

G. A. Edgar, Table of n, a(n) for n = 0..503
Index entries for McKayThompson series for Monster simple group
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.


FORMULA

Expansion of q^(1/2)*(eta(q^4)^8*eta(q)^4 / (eta(q^2)^8*eta(q^8)^4)  4*eta(q^2)^8*eta(q^8)^4 / (eta(q)^4*eta(q^4)^8)) in powers of q.  G. A. Edgar, Mar 25 2017


EXAMPLE

T8c = 1/q 8*q 6*q^3 48*q^5 +15*q^7 168*q^9 26*q^11 +...


CROSSREFS

Cf. A058088.
Sequence in context: A075486 A123875 A217479 * A058088 A248291 A038284
Adjacent sequences: A112142 A112143 A112144 * A112146 A112147 A112148


KEYWORD

sign


AUTHOR

Michael Somos, Aug 28 2005


STATUS

approved



