A003940 Order of simple Chevalley group B_4(q), q = prime power.

47377612800, 65784756654489600, 4408780839651901440000, 6973279267500000000000000, 1298254740461168363656151040000, 319368723699461283992462111539200

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

Table of n, a(n) for n=1..6.

Index entries for sequences related to groups.

Formula

a(n) = b(A000961(n + 1), 4) 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, 4], {q, Select[Range[20], PrimePowerQ]}] (* Amiram Eldar, Jun 23 2025 *)

Crossrefs

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

Sequence in context: A237495 A227387 A179227 * A003933 A092381 A195283

Adjacent sequences: A003937 A003938 A003939 * A003941 A003942 A003943

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved