Triangle T(n, k) = Sum_{j=0..k} (-1)^(k-j)*A159041(2*n+1, j), read by rows.

Terms

a(0) =1a(1) =1a(2) =-26a(3) =1a(4) =1a(5) =-120a(6) =1192a(7) =-120a(8) =1a(9) =1a(10) =-502a(11) =14609a(12) =-88736a(13) =14609a(14) =-502a(15) =1a(16) =1a(17) =-2036a(18) =152638a(19) =-2205524a(20) =9890752a(21) =-2205524a(22) =152638a(23) =-2036a(24) =1a(25) =1a(26) =-8178a(27) =1479727a(28) =-45541628a(29) =424761262