The OEIS is supported by the many generous donors to the OEIS Foundation.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #22 Sep 08 2022 08:45:40
%S 1,192,10206,344064,9450000,235146240,5590680480,130799370240,
%T 3064161260160,72648576000000,1755018872006400,43385497111756800,
%U 1100535435333734400,28694585299245465600,769785401024640000000,21259022134381903872000,604515265659140419584000,17698965059877321572352000
%N a(n) = (n+1)^5*(5+n)!/120.
%C Row 5 of square array A152818.
%H G. C. Greubel, <a href="/A154308/b154308.txt">Table of n, a(n) for n = 0..250</a>
%H Clark Kimberling, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL12/Kimberling/kimberling56.html">Polynomials associated with reciprocation</a>, JIS 12 (2009) 09.3.4 section 6.
%F a(n) = A000142(n+1)*A000583(n+1)*A000389(n+5). - _R. J. Mathar_, Jan 17 2009
%F 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
%t Table[(n + 1)^5*(5 + n)!/120, {n, 0, 25}] (* _G. C. Greubel_, Sep 10 2016 *)
%o (Magma) [(n+1)^5*Factorial(5+n)/120: n in [0..20]]; // _Vincenzo Librandi_, Sep 11 2016
%o (PARI) for(n=0,25, print1((n+1)^5*(5+n)!/120, ", ")) \\ _G. C. Greubel_, Nov 24 2017
%Y Cf. A000142, A001563, A055533, A152818, A154306, A154307.
%K nonn
%O 0,2
%A _Omar E. Pol_, Jan 06 2009
%E More terms from _R. J. Mathar_, Jan 17 2009