A002761 Number of ways of getting a royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or nothing in 5-card poker.

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

Offset

1,1

References

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

Links

Table of n, a(n) for n=1..10.

Index entries for sequences related to poker

Formula

From Jianing Song, Apr 06 2019: (Start)

a(n) = A002806(11-n) for 1 <= n <= 10.

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

Crossrefs

Cf. A002806, A002847.

Sequence in context: A363010 A263445 A241029 * A002084 A135867 A268470

Adjacent sequences: A002758 A002759 A002760 * A002762 A002763 A002764

Keyword

fini,full,nonn

Author

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

Status

approved