A141477 Sum of southeast diagonals of A141476.
1, 1, 3, 7, 29, 129, 763, 5191
Offset: 0
Keywords
Crossrefs
Cf. A082096.
This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
Triangle begins
1;
1, -1;
2, -1, -1;
6, -2, -1, -3;
24, -6, -2, -3, -13;
120, -24, -6, -6, -13, -71;
720, -120, -24, -18, -26, -71, -461;
(* b = A003319 *) b[0]=0; b[n_] := b[n] = n! - Sum[k! b[n-k], {k, 1, n-1}]; T[n_, 0] := n!; T[n_, k_] := -(n - k)! b[k]; Table[T[n, k], {n, 0, 10}, {k, 0, n}] // Flatten (* Jean-François Alcover, Feb 18 2018 *)