A082038 - OEIS

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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

(list; table; graph; refs; listen; history; text; internal format)

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 ...