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A002879 Number of ways of getting a straight flush, 4 of a kind, full house, flush, straight, 3 of a kind, 2 pair, a pair, nothing in a 7-card poker hand. 2

%I

%S 41584,224848,3473184,4047644,6180020,6461620,31433400,58627800,

%T 23294460

%N Number of ways of getting a straight flush, 4 of a kind, full house, flush, straight, 3 of a kind, 2 pair, a pair, nothing in a 7-card poker hand.

%C The first term a(1)=41584 is often split into 4324 royal flushes (ace-high) and 37260 other straight flushes (king-high or less). - _Gerard P. Michon_, Nov 14 2013

%H rec.gambling.poker, <a href="http://www.faqs.org/faqs/gambling-faq/poker/">FAQ</a>

%H G. P. Michon, <a href="http://www.numericana.com/answer/poker.htm#7">Seven-card Combos</a>.

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

%e a(1) = 41584 is the number of combinations of 7 cards from which a 5-card straight flush can be extracted (i.e., 5 cards in the same suit whose ranks form one of the following 10 sequences: AKQJT, KQJT9, QJT98, JT987, T9876, 98765, 87654, 76543, 65432 and, last and least, 5432A). - _Gerard P. Michon_, Nov 14 2013

%K fini,nonn,full

%O 1,1

%A Luigi Barone (luigi(AT)cs.uwa.edu.au)

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Last modified November 30 17:12 EST 2021. Contains 349424 sequences. (Running on oeis4.)