

A001379


Degrees of irreducible representations of Monster group M.


9



1, 196883, 21296876, 842609326, 18538750076, 19360062527, 293553734298, 3879214937598, 36173193327999, 125510727015275, 190292345709543, 222879856734249, 1044868466775133, 1109944460516150, 2374124840062976, 8980616927734375, 8980616927734375, 15178147608537368
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OFFSET

1,2


COMMENTS

The sequence contains 194 terms, of which 170 are distinct. The only triplet of repeated terms is a(123) = a(124) = a(125) = 5514132424881463208443904. The rest of the repeated terms are pairs, for example a(16) = a(17) = 8980616927734375.  Omar E. Pol, Nov 28 2014


REFERENCES

J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985.


LINKS

Eric M. Schmidt, Table of n, a(n) for n = 1..194 (complete sequence)
J. H. Conway and S. P. Norton, Monstrous Moonshine, Bull. Lond. Math. Soc. 11 (1979) 308339.
John F. R. Duncan, Michael J. Griffin and Ken Ono, Proof of the Umbral Moonshine Conjecture, arXiv:1503.01472, 2015
YangHui He, John McKay, Sporadic and Exceptional, arXiv:1505.06742
Eric Weisstein's World of Mathematics, Monstrous Moonshine
Index entries for sequences related to groups


PROG

(GAP) List(Irr(CharacterTable("M")), chi>chi[1]); # Eric M. Schmidt, Jul 15 2012


CROSSREFS

Cf. A003131, A002267, A051161.
Sequence in context: A024211 A204943 A113919 * A247242 A014708 A035230
Adjacent sequences: A001376 A001377 A001378 * A001380 A001381 A001382


KEYWORD

nonn,fini,full,nice


AUTHOR

N. J. A. Sloane


STATUS

approved



