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

0,6

Links

Table of n, a(n) for n=0..65.

Formula

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

Example

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

Mathematica

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

Crossrefs

Cf. A000142, A166350.

Row sums give A003422(n+1).

Sequence in context: A246660 A346422 A245405 * A156588 A278543 A374571

Adjacent sequences: A233540 A233541 A233542 * A233544 A233545 A233546

Keyword

nonn,tabl,less

Author

Paul Curtz, Dec 12 2013

Status

approved