Number of distinct 5-card poker hands using n ranks and 4 unlabeled suits.

Terms

a(0) =0a(1) =0a(2) =6a(3) =57a(4) =272a(5) =901a(6) =2376a(7) =5362a(8) =10808a(9) =19998a(10) =34602a(11) =56727a(12) =88968a(13) =134459a(14) =196924a(15) =280728a(16) =390928a(17) =533324a(18) =714510a(19) =941925a(20) =1223904a(21) =1569729a(22) =1989680a(23) =2495086a(24) =3098376a(25) =3813130a(26) =4654130a(27) =5637411a(28) =6780312a(29) =8101527