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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
OFFSET
1,2
PROG
(GAP) Concatenation([1], List([2..10], n->Sum( Filtered( ConjugacyClassesSubgroups( SL(2, Integers mod n)), x->IsAbelian( Representative(x))), Size)));
CROSSREFS
Sequence in context: A147718 A111009 A012172 * A211383 A066873 A105262
KEYWORD
nonn,more
AUTHOR
Andrew Howroyd, Jul 06 2018
STATUS
approved