A154308 a(n) = (n+1)^5*(5+n)!/120.

1, 192, 10206, 344064, 9450000, 235146240, 5590680480, 130799370240, 3064161260160, 72648576000000, 1755018872006400, 43385497111756800, 1100535435333734400, 28694585299245465600, 769785401024640000000, 21259022134381903872000, 604515265659140419584000, 17698965059877321572352000

Offset

0,2

Comments

Row 5 of square array A152818.

Links

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

Clark Kimberling, Polynomials associated with reciprocation, JIS 12 (2009) 09.3.4 section 6.

Formula

a(n) = A000142(n+1)*A000583(n+1)*A000389(n+5). - R. J. Mathar, Jan 17 2009

E.g.f.: (1 + 181*x + 3046*x^2 + 11606*x^3 + 12281*x^4 + 3125*x^5)/(1-x)^11. - R. J. Mathar, Dec 21 2011

Mathematica

Table[(n + 1)^5*(5 + n)!/120, {n, 0, 25}] (* G. C. Greubel, Sep 10 2016 *)

Prog

(Magma) [(n+1)^5*Factorial(5+n)/120: n in [0..20]]; // Vincenzo Librandi, Sep 11 2016
(PARI) for(n=0, 25, print1((n+1)^5*(5+n)!/120, ", ")) \\ G. C. Greubel, Nov 24 2017

Crossrefs

Cf. A000142, A001563, A055533, A152818, A154306, A154307.

Sequence in context: A173783 A290178 A282208 * A187460 A200209 A205760

Adjacent sequences: A154305 A154306 A154307 * A154309 A154310 A154311

Keyword

nonn

Author

Omar E. Pol, Jan 06 2009

Extensions

More terms from R. J. Mathar, Jan 17 2009

Status

approved