Triangle read by rows: T(n,m) = Sum_{k=1..m} (k/n)*binomial(n,m-k)*binomial(n,m), n >= m >= 1.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =5a(5) =4a(6) =1a(7) =9a(8) =17a(9) =8a(10) =1a(11) =14a(12) =46a(13) =49a(14) =16a(15) =1a(16) =20a(17) =100a(18) =180a(19) =129a(20) =32a(21) =1a(22) =27a(23) =190a(24) =510a(25) =603a(26) =321a(27) =64a(28) =1a(29) =35