A063183 Number of nonisomorphic cyclic subgroups of the group S_n X S_n (where S_n is the symmetric group of degree n).
1, 1, 2, 4, 6, 11, 11, 20, 26, 37, 39, 59, 66, 97, 107, 120, 151, 203, 230, 303, 345, 381, 422, 542, 623, 737, 817, 963, 1074, 1328, 1480, 1798, 2097, 2275, 2518, 2702, 3071, 3630, 3973, 4295, 4770, 5614, 6253, 7294, 8020, 8676, 9421, 10913, 12136, 13577, 14871
Offset: 0
Keywords
Examples
Set of orders of elements of S_8 X S_8 is {1,2,3,4,5,6,7,8,10,12,14,15,20,21,24, 28,30,35,40,42,56,60,70,84,105,120}, thus a(8) = 26.
Crossrefs
Cf. (labeled case) A063182.
Extensions
More terms from David Wasserman, Jul 10 2002
a(0)=1 prepended by Alois P. Heinz, Jan 01 2023