Triangle of sums of the first k n-th powers multiplied by binomial(n,k), read by rows.

Terms

a(0) =0a(1) =0a(2) =1a(3) =0a(4) =2a(5) =5a(6) =0a(7) =3a(8) =27a(9) =36a(10) =0a(11) =4a(12) =102a(13) =392a(14) =354a(15) =0a(16) =5a(17) =330a(18) =2760a(19) =6500a(20) =4425a(21) =0a(22) =6a(23) =975a(24) =15880a(25) =73350a(26) =123090a(27) =67171a(28) =0a(29) =7