A154306 -id:A154306 - cp's OEIS frontend

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

Omar E. Pol, Jan 06 2009

nonn

Row 4 of square array A152818.

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

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

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

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

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

Extended by Max Alekseyev, Apr 13 2009

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

Original entry on oeis.org

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

Offset: 0

Omar E. Pol, Jan 06 2009

nonn

Row 5 of square array A152818.

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.

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

[(n+1)^5*Factorial(5+n)/120: n in [0..20]]; // Vincenzo Librandi, Sep 11 2016

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

for(n=0,25, print1((n+1)^5*(5+n)!/120, ", ")) \\ G. C. Greubel, Nov 24 2017

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

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

cp's OEIS Frontend

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

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