A233543 Triangle read by rows: T(n,k) = k!.

1, 1, 1, 1, 1, 2, 1, 1, 2, 6, 1, 1, 2, 6, 24, 1, 1, 2, 6, 24, 120, 1, 1, 2, 6, 24, 120, 720, 1, 1, 2, 6, 24, 120, 720, 5040, 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800

Offset: 0

Author

Paul Curtz, Dec 12 2013

Keywords

• nonn
• tabl
• less

Examples

			Triangle begins:
  1;
  1, 1;
  1, 1, 2;
  1, 1, 2, 6;
  1, 1, 2, 6, 24;
  1, 1, 2, 6, 24, 120;
  ...
		

Crossrefs

Cf. A000142, A166350.

Row sums give A003422(n+1).

Programs

Mathematica

t[, m] := m!; Table[Table[t[n, m], {m, 0, n}], {n, 0, 9}] // Flatten (* Jean-François Alcover, Dec 12 2013 *)

Formula

T(n,k) = A000142(k).