A064586 Order of twisted group 2F4(2^(2*n + 1)).

35942400, 264905352699586176614400, 1318633155799591447702161609782722560000, 6082094555322622967641341883296948240189833427183206400, 27553065698713340677402960424984119640445544581637086693954488264294400, 124270100714024486336082151164778648282667807904331482703587621226371097161732037017600

Offset

0,1

References

R. W. Carter, Simple Groups of Lie Type, Wiley 1972, Chap. 14.

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.

Links

Harry J. Smith, Table of n, a(n) for n = 0..40

Formula

a(n) = (2^(2*n+1))^12*((2^(2*n+1))-1)*((2^(2*n+1))^3+1)*((2^(2*n+1))^4-1)*((2^(2*n+1))^6+1).

Prog

(PARI) { for (n=0, 40, q=2^(2*n + 1); a=q^12*(q - 1)*(q^3 + 1)*(q^4 - 1)*(q^6 + 1); write("b064586.txt", n, " ", a) ) } \\ Harry J. Smith, Sep 19 2009

Crossrefs

Cf. A037252, A064585.

Sequence in context: A204336 A258955 A037252 * A183593 A183755 A105296

Adjacent sequences: A064583 A064584 A064585 * A064587 A064588 A064589

Keyword

nonn,easy

Author

N. J. A. Sloane, Oct 17 2001

Status

approved