A082038 A square array of quadratic-factorial numbers, read by antidiagonals.

1, 1, 1, 1, 3, 2, 1, 7, 14, 6, 1, 13, 42, 78, 24, 1, 21, 86, 258, 504, 120, 1, 31, 146, 546, 1752, 3720, 720, 1, 43, 222, 942, 3768, 13320, 30960, 5040, 1, 57, 314, 1446, 6552, 28920, 113040, 287280, 40320, 1, 73, 422, 2058, 10104, 50520, 246960, 1063440

Offset: 0

Author

Paul Barry, Apr 02 2003

Keywords

• easy
• nonn
• tabl

Comments

Rows include A000142, A001564, A082035, A082036.

Examples

			Rows begin
1 1 2 6 24 ...
1 3 14 78 504 ...
1 7 42 258 1752 ...
1 13 86 546 3768 ...
1 21 146 942 6552 ...
		

Crossrefs

Cf. A082037, A082039.

Formula

Square array defined by T(n, k)=((kn)^2+kn+1)n!