A233543 - OEIS

%I #22 Jan 15 2025 21:16:35

%S 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,

%T 2,6,24,120,720,5040,1,1,2,6,24,120,720,5040,40320,1,1,2,6,24,120,720,

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

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

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

%e Triangle begins:

%e   1;

%e   1, 1;

%e   1, 1, 2;

%e   1, 1, 2, 6;

%e   1, 1, 2, 6, 24;

%e   1, 1, 2, 6, 24, 120;

%e   ...

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

%Y Cf. A000142, A166350.

%Y Row sums give A003422(n+1).

%K nonn,tabl,less

%O 0,6

%A _Paul Curtz_, Dec 12 2013