A062365 Number of nonisomorphic cyclic subgroups of the group A_n X A_n (where A_n is the alternating group of degree n).

1, 1, 2, 4, 7, 10, 17, 19, 27, 35, 54, 58, 85, 96, 106, 122, 171, 209, 272, 312, 339, 384, 504, 568, 668, 754, 867, 981, 1226, 1357, 1658, 1859, 1991, 2318, 2526, 2833, 3393, 3730, 3976, 4418, 5244, 5829, 6798, 7468, 7998, 8770, 10282, 11354, 12676, 13911

Offset

1,3

Links

Table of n, a(n) for n=1..50.

Example

Set of orders of elements of A_8 X A_8 is {1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 105}, thus a(8)=19.

Crossrefs

Cf. A063182, A063183, A051636, A020902, (labeled case) A062364.

Sequence in context: A244488 A365068 A131752 * A049630 A032705 A332639

Adjacent sequences: A062362 A062363 A062364 * A062366 A062367 A062368

Keyword

nonn

Author

Vladeta Jovovic, Jul 11 2001

Extensions

More terms from David Wasserman, Jun 27 2002

Status

approved