A002761 - OEIS

%I #16 Apr 09 2019 05:12:46

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

%N 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.

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

%H <a href="/index/Poi#poker">Index entries for sequences related to poker</a>

%F From _Jianing Song_, Apr 06 2019: (Start)

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

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

%Y Cf. A002806, A002847.

%K fini,full,nonn

%O 1,1

%A _N. J. A. Sloane_, Koreen M Mielke (mielkk72(AT)VAXA.CIS.UWOSH.EDU)