A100948 Irregular triangle with T(n,1) = floor(n!/3), T(n,2) = n!/2, T(n,3) = n!, read by rows.

1, 1, 2, 2, 3, 6, 8, 12, 24, 40, 60, 120, 240, 360, 720, 1680, 2520, 5040, 13440, 20160, 40320, 120960, 181440, 362880, 1209600, 1814400, 3628800

Offset: 2

Author

Roger L. Bagula, Jun 07 2007

Keywords

• nonn
• tabf
• easy

Examples

			1, 1, 2;
2, 3, 6;
8, 12, 24;
40, 60, 120;
240, 360, 720;
1680, 2520, 5040;
13440, 20160, 40320;
120960, 181440, 362880;
1209600, 1814400, 3628800;
		

Programs

Mathematica

Flatten[Table[{If[n < 3, 1, n!/3], If[n < 2, 1, n!/2], n!}, {n, 1, 10}]]

Formula

T(n,1) = A002301(n), n>=3. T(n,2) = A001710(n). T(n,3) = A000142(n).