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

Terms

a(0) =2a(1) =4a(2) =-3a(3) =8a(4) =-5a(5) =4a(6) =16a(7) =1a(8) =11a(9) =-5a(10) =32a(11) =51a(12) =46a(13) =-14a(14) =6a(15) =64a(16) =281a(17) =337a(18) =22a(19) =22a(20) =-7a(21) =128a(22) =1163a(23) =2472a(24) =1121a(25) =176a(26) =-27a(27) =8a(28) =256a(29) =4257