A316559 Number of abelian subgroups of the group GL(2, Z(n)), counting conjugates as distinct.

1, 5, 34, 147, 251, 309, 890, 10683, 2440, 2487, 3088

Offset

1,2

Links

Table of n, a(n) for n=1..11.

Prog

(GAP) Concatenation([1], List([2..7], n->Sum( Filtered( ConjugacyClassesSubgroups( GL(2, Integers mod n)), x->IsAbelian( Representative(x))), Size)));

Crossrefs

Cf. A316536, A316560.

Sequence in context: A186636 A034224 A167023 * A284850 A248373 A121831

Adjacent sequences: A316556 A316557 A316558 * A316560 A316561 A316562

Keyword

nonn,more

Author

Andrew Howroyd, Jul 06 2018

Status

approved