A002806 Number of ways of getting nothing, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, or a royal flush in 5-card poker.

1302540, 1098240, 123552, 54912, 10200, 5108, 3744, 624, 36, 4

Offset: 1

Author

N. J. A. Sloane, Koreen M Mielke (mielkk72(AT)VAXA.CIS.UWOSH.EDU)

Keywords

• fini
• full
• nonn

References

• J. Scarne, Scarne's Complete Guide to Gambling, Simon and Schuster, 1961, p. 582.

Links

• Index entries for sequences related to poker

Crossrefs

Cf. A002761.

Formula

From Jianing Song, Apr 06 2019: (Start)

a(n) = A002761(11-n) for 1 <= n <= 10.

Sum_{i=1..10} a(i) = binomial(52,5) = A017768(5). (End)