A082037 A square array of linear-factorial numbers, read by antidiagonals.

1, 1, 1, 1, 2, 2, 1, 3, 6, 6, 1, 4, 10, 24, 24, 1, 5, 14, 42, 120, 120, 1, 6, 18, 60, 216, 720, 720, 1, 7, 22, 78, 312, 1320, 5040, 5040, 1, 8, 26, 96, 408, 1920, 9360, 40320, 40320, 1, 9, 30, 114, 504, 2520, 13680, 75600, 362880, 362880

Offset: 0

Author

Paul Barry, Apr 02 2003

Keywords

• easy
• nonn
• tabl

Comments

Rows include A000142(n), A000142(n+1), A007680, A082033, A082034. Columns include 2!*A005408(n),3!*A016777(n),4!*A016813(n),5!*A016861. Main diagonal is A082042.

Examples

			Rows begin
1 1 2 6 ....
1 2 6 24 ...
1 3 10 42 ...
1 4 14 60 ...
1 5 18 78 ...
		

Crossrefs

Cf. A077038.

Formula

Square array defined by T(n, k)=(kn+1)n!