A154306 a(n) = (n+1)^3*(3+n)!/6.

1, 32, 540, 7680, 105000, 1451520, 20744640, 309657600, 4849891200, 79833600000, 1381360780800, 25107347865600, 478826764416000, 9568689242112000, 200074178304000000, 4370687116443648000, 99607063051431936000

Offset: 0

Author

Omar E. Pol, Jan 06 2009

Keywords

• nonn
• easy

Comments

Row 3 of square array A152818.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200

Crossrefs

Cf. A000142, A001563, A055533, A152818, A154307, A154308.

Programs

Magma

[(n+1)^3*Factorial(3+n)/6: n in [0..20]]; // Vincenzo Librandi, Mar 27 2012

Mathematica

Table[(n+1)^3*(3+n)!/6,{n,0,20}] (* Vincenzo Librandi, Mar 27 2012 *)

PARI

a(n) = (n+1)^3*(n+3)!/6 \\ Charles R Greathouse IV, Sep 10 2016

Formula

E.g.f.: (1 + 25*x + 67*x^2 + 27*x^3)/(1-x)^7. - R. J. Mathar, Dec 21 2011

Extensions

More terms from Sean A. Irvine, Dec 01 2009