A082035 a(n) = (4n^2+2n+1) * n!.

1, 7, 42, 258, 1752, 13320, 113040, 1063440, 11007360, 124467840, 1527724800, 20237817600, 287879961600, 4377595622400, 70875950745600, 1217444836608000, 22115388911616000, 423623726862336000, 8534364149735424000

Offset

0,2

Comments

A row of the number array A082038.

Links

Table of n, a(n) for n=0..18.

Formula

a(n) = 4*A002775(n) + A007680(n).

a(n) = n!*A054569(n+1). 4*a(n) +2*(-2*n-9)*a(n-1) +(10*n+3)*a(n-2) +3*(-n+2)*a(n-3)=0. - R. J. Mathar, Dec 11 2025

Mathematica

Table[(4n^2+2n+1)n!, {n, 0, 20}] (* Harvey P. Dale, Jul 15 2011 *)

Crossrefs

Cf. A001564, A082036.

Sequence in context: A252700 A033133 A385823 * A127016 A152239 A152240

Adjacent sequences: A082032 A082033 A082034 * A082036 A082037 A082038

Keyword

easy,nonn

Author

Paul Barry, Apr 02 2003

Status

approved