A056197 Diagonal of A056151.

1, 7, 38, 222, 1464, 10920, 91440, 851760, 8749440, 98340480, 1201132800, 15846969600, 224651750400, 3406180377600, 55009501747200, 942833219328000, 17093919338496000, 326876746420224000, 6575237795782656000

Offset

0,2

Links

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

Formula

a(n)=(3n^2+3n+1)n!=((n+1)^3-n^3)n!=n!A003215(n). - Paul Barry, Apr 02 2003

E.g.f.: (1 + 4*x + x^2)/(1 - x)^3. - Ilya Gutkovskiy, May 12 2017

Mathematica

Table[(3n(n+1)+1)n!, {n, 0, 18}]

Crossrefs

Cf. A056151.

Sequence in context: A027241 A292761 A226200 * A348457 A356600 A354340

Adjacent sequences: A056194 A056195 A056196 * A056198 A056199 A056200

Keyword

nonn,easy

Author

N. J. A. Sloane, Aug 05 2000

Extensions

More terms from Wouter Meeussen, Aug 05 2000

Status

approved