A316536 Number of abelian subgroups of the group SL(2, Z(n)), counting conjugates as distinct.

1, 5, 13, 42, 49, 105, 116, 498, 254, 381, 378, 1402, 550, 929, 1383, 3110, 1041, 2530, 1486, 5386, 3512, 2952, 2120, 24770

Offset

1,2

Links

Table of n, a(n) for n=1..24.

Prog

(GAP) Concatenation([1], List([2..10], n->Sum( Filtered( ConjugacyClassesSubgroups( SL(2, Integers mod n)), x->IsAbelian( Representative(x))), Size)));

Crossrefs

Cf. A316537, A316559.

Sequence in context: A147718 A111009 A012172 * A211383 A066873 A105262

Adjacent sequences: A316533 A316534 A316535 * A316537 A316538 A316539

Keyword

nonn,more

Author

Andrew Howroyd, Jul 06 2018

Status

approved