A245228 - OEIS

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

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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