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

0,5

Comments

Rows include A000142, A001564, A082035, A082036.

Links

Table of n, a(n) for n=0..52.

Formula

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

Example

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.

Sequence in context: A186370 A163626 A028246 * A143774 A196842 A158474

Adjacent sequences: A082035 A082036 A082037 * A082039 A082040 A082041

Keyword

easy,nonn,tabl

Author

Paul Barry, Apr 02 2003

Status

approved