Table read by rows: T(n, k) = (-1)^(n-k)*F(n, k)/k!, where F are the Faulhaber numbers A354042.

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =1a(6) =0a(7) =4a(8) =4a(9) =1a(10) =0a(11) =36a(12) =36a(13) =10a(14) =1a(15) =0a(16) =600a(17) =600a(18) =170a(19) =20a(20) =1a(21) =0a(22) =16584a(23) =16584a(24) =4720a(25) =574a(26) =35a(27) =1a(28) =0a(29) =705600