A003944 Order of simple Chevalley group B_8(q), q = prime power.

59980383884075203672726385914533642240000, 33903338948400079408255624011057141081545622145957207600005120000, 7084630453281025440882493116981310890142026281589018852388680249504694272000000000

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

Sean A. Irvine, Table of n, a(n) for n = 1..10

Index entries for sequences related to groups.

Formula

a(n) = b(A000961(n + 1), 8) where b(q,n) is defined in A003927. - Sean A. Irvine, Sep 22 2015

Mathematica

b[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}] / GCD[2, q-1]; Table[b[q, 8], {q, Select[Range[4], PrimePowerQ]}] (* Amiram Eldar, Jul 11 2025 *)

Crossrefs

Cf. A000961, A003927, A003938, A003939, A003940, A003941, A003942, A003943.

Sequence in context: A008870 A008869 A095474 * A003937 A120335 A095476

Adjacent sequences: A003941 A003942 A003943 * A003945 A003946 A003947

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

a(3) from Sean A. Irvine, Sep 22 2015

Status

approved