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A001379 Degrees of irreducible representations of Monster group M. 10
1, 196883, 21296876, 842609326, 18538750076, 19360062527, 293553734298, 3879214937598, 36173193327999, 125510727015275, 190292345709543, 222879856734249, 1044868466775133, 1109944460516150, 2374124840062976, 8980616927734375, 8980616927734375, 15178147608537368 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
The sequence contains 194 terms, of which 170 are distinct. The only triple 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) 308-339.
John F. R. Duncan, Michael J. Griffin and Ken Ono, Proof of the Umbral Moonshine Conjecture, arXiv:1503.01472 [math.RT], 2015.
Yang-Hui He, John McKay, Sporadic and Exceptional, arXiv:1505.06742 [math.AG], 2015.
Valdo Tatitscheff, A short introduction to Monstrous Moonshine, arXiv:1902.03118 [math.NT], 2019.
Eric Weisstein's World of Mathematics, Monstrous Moonshine
PROG
(GAP) List(Irr(CharacterTable("M")), chi->chi[1]); # Eric M. Schmidt, Jul 15 2012
CROSSREFS
Sequence in context: A204943 A345657 A113919 * A247242 A014708 A302407
KEYWORD
nonn,fini,full,nice
AUTHOR
STATUS
approved

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Last modified May 27 00:17 EDT 2024. Contains 372847 sequences. (Running on oeis4.)