A003931 Order of universal Chevalley group B_2(q), q = prime power.

720, 51840, 979200, 9360000, 276595200, 1056706560, 3443212800, 25721308800, 137037962880, 1095199948800, 2008994088960, 6114035779200, 41348052472320, 95214600000000, 205608315669120, 420206392771200, 818774509363200, 1124799322521600, 4805069329111680, 13414669637644800

Offset

1,1

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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], p. xvi.

H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.

Links

Robin Visser, Table of n, a(n) for n = 1..10000

Formula

a(n) = B(A000961(n + 1), 2) where B(q,n) is defined in A003920. - Sean A. Irvine, Sep 22 2015

Prog

(Magma) [#SymplecticGroup(4, q) : q in [2..50] | IsPrimePower(q)];  // Robin Visser, Aug 06 2023

Crossrefs

Sequence in context: A291113 A246217 A364771 * A158049 A294705 A222004

Adjacent sequences: A003928 A003929 A003930 * A003932 A003933 A003934

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Robin Visser, Aug 06 2023

Status

approved