A002847 Number of ways of getting a straight flush, 4 of a kind, full house, flush, straight, 3 of a kind, 2 pair, a pair, no pair in poker.

40, 624, 3744, 5108, 10200, 54912, 123552, 1098240, 1302540

Offset: 1

Author

N. J. A. Sloane, Luigi Barone (luigi(AT)cs.uwa.edu.au)

Keywords

• fini
• nonn
• full
• nice

References

• J. Emert and D. Umbach, Inconsistencies of "wild-card" poker, Chance, Vol. 9 (No. 3, 1996), pp. 17-22.
• R. L. Frey, According to Hoyle, Fawcett, 1956, p. 32.
• rec.gambling.poker FAQ.

Links

• Index entries for sequences related to poker

Formula

a(1) = A002761(1)+A002761(2). a(n) = A002761(n+1), n>1. - R. J. Mathar, Dec 19 2022