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

0,3

Links

Table of n, a(n) for n=0..50.

Example

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.

Sequence in context: A304532 A345091 A279911 * A057661 A237277 A097954

Adjacent sequences: A063180 A063181 A063182 * A063184 A063185 A063186

Keyword

nonn

Author

Vladeta Jovovic, Jul 10 2001

Extensions

More terms from David Wasserman, Jul 10 2002

a(0)=1 prepended by Alois P. Heinz, Jan 01 2023

Status

approved