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A316536 Number of abelian subgroups of the group SL(2, Z(n)), counting conjugates as distinct. 2
1, 5, 13, 42, 49, 105, 116, 498, 254, 381, 378, 1402, 550, 929, 1383, 3110, 1041, 2530, 1486, 5386, 3512, 2952, 2120, 24770 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 18 09:59 EDT 2019. Contains 327170 sequences. (Running on oeis4.)