Triangle T(n, k) = 1 - (-1)^n*(n! + 1) + A176013(n, k) + A176013(n, n-k+1) read by rows.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =-10a(5) =1a(6) =1a(7) =72a(8) =72a(9) =1a(10) =1a(11) =-528a(12) =-678a(13) =-528a(14) =1a(15) =1a(16) =4770a(17) =6780a(18) =6780a(19) =4770a(20) =1a(21) =1a(22) =-48025a(23) =-87568a(24) =-68458a(25) =-87568a(26) =-48025a(27) =1a(28) =1a(29) =524384