Irregular triangle read by rows: T(n,k) = Sum_{i=0..k} (-1)^i * binomial(2*n+1,i) * binomial(k+2-i,2)^n, 0 <= k <= 2*(n-1).

A154283

Irregular triangle read by rows: T(n,k) = Sum_{i=0..k} (-1)^i * binomial(2*n+1,i) * binomial(k+2-i,2)^n, 0 <= k <= 2*(n-1).

Terms

    a(0) =1a(1) =1a(2) =4a(3) =1a(4) =1a(5) =20a(6) =48a(7) =20a(8) =1a(9) =1a(10) =72a(11) =603a(12) =1168a(13) =603a(14) =72a(15) =1a(16) =1a(17) =232a(18) =5158a(19) =27664a(20) =47290a(21) =27664a(22) =5158a(23) =232a(24) =1a(25) =1a(26) =716a(27) =37257a(28) =450048a(29) =1822014

External references