A245228 Number of nonisomorphic subsets of n cards of a standard deck of 52 cards under action of symmetric group S_4 acting on the suits.

1, 13, 169, 1755, 16432, 134459, 962988, 6009159, 32819436, 157702259, 671225412, 2546958349, 8668626707, 26607292908, 74002375408, 187274148048, 432761029519, 915980606957, 1780453974039, 3185285527359, 5254786194372, 8006264748053, 11280519244644, 14712774203725, 17777183437949, 19909964116172, 20675571474936, 19909964116172, 17777183437949, 14712774203725, 11280519244644, 8006264748053, 5254786194372, 3185285527359, 1780453974039, 915980606957, 432761029519, 187274148048, 74002375408, 26607292908, 8668626707, 2546958349, 671225412, 157702259, 32819436, 6009159, 962988, 134459, 16432, 1755, 169, 13, 1

Offset

0,2

Comments

More than the usual number of terms are given in order to show the full sequence.

References

F. Harary and R. Palmer, Graphical Enumeration.

Links

Table of n, a(n) for n=0..52.

Mathematics Stack Exchange, Subsets of the standard deck of 52 cards under suit permutation isomorphisms

Marko Riedel, Maple program for sequence including cycle indices.

Example

The term for n=1 is 13 because the action of the suit permutation group on the set of cards renders the single suit of a single card irrelevant.

Crossrefs

Sequence in context: A207178 A188749 A045589 * A093151 A188869 A014956

Adjacent sequences: A245225 A245226 A245227 * A245229 A245230 A245231

Keyword

nonn,fini,full

Author

Marko Riedel, Jul 13 2014

Status

approved