A053651 Number of nonisomorphic cyclic subgroups of general linear group GL(n,2).

1, 3, 5, 8, 13, 18, 27, 37, 51, 70, 96, 130, 176, 232, 296, 380, 490, 620, 793, 1019, 1277, 1624

Offset

1,2

References

V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.

Links

Table of n, a(n) for n=1..22.

Sean A. Irvine, Java program (github)

Example

a(5)=13 because the orders of the elements of GL(5,2) are {1,2,3,4,5,6,7,8,12,14,15,21,31}.

Crossrefs

Cf. A053658 (for GL(n,3)), A053660 (for GL(n, 4)).

Cf. A062766 (for AGL(n,2)).

Sequence in context: A310036 A265046 A158384 * A175388 A310037 A104563

Adjacent sequences: A053648 A053649 A053650 * A053652 A053653 A053654

Keyword

nonn,more

Author

Vladeta Jovovic, Mar 22 2000

Extensions

a(15)-a(22) from Sean A. Irvine, Jan 10 2022

Status

approved