login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; graph; refs; listen; history; text; internal format)
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) 308-339.

John F. R. Duncan, Michael J. Griffin and Ken Ono, Proof of the Umbral Moonshine Conjecture, arXiv:1503.01472, 2015

Yang-Hui 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

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

License Agreements, Terms of Use, Privacy Policy .

Last modified December 10 23:13 EST 2016. Contains 279021 sequences.