A316559 - OEIS

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

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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