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A082038 A square array of quadratic-factorial numbers, read by antidiagonals. 3
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 ...

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

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Last modified August 8 05:50 EDT 2020. Contains 336290 sequences. (Running on oeis4.)