A154307 a(n) = (n+1)^4*(4+n)!/24.

1, 80, 2430, 53760, 1050000, 19595520, 363031200, 6812467200, 130947062400, 2594592000000, 53182390060800, 1129830653952000, 24898991749632000, 569337009905664000, 13505007035520000000, 332172220849717248000

Offset: 0

Author

Omar E. Pol, Jan 06 2009

Keywords

• nonn

Comments

Row 4 of square array A152818.

Links

• G. C. Greubel, Table of n, a(n) for n = 0..250

Crossrefs

Cf. A000142, A001563, A055533, A152818, A154306, A154308.

Programs

Magma

[(n+1)^4*Factorial(4+n)/24: n in [0..20]]; // Vincenzo Librandi, Sep 11 2016

Mathematica

Table[(n + 1)^4*(4 + n)!/24, {n, 0, 25}] (* G. C. Greubel, Sep 10 2016 *)

Formula

E.g.f.: (1 + 71*x + 531*x^2 + 821*x^3 + 256*x^4)/(1-x)^9. - R. J. Mathar, Dec 21 2011

Extensions

Extended by Max Alekseyev, Apr 13 2009