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%I #19 Nov 13 2024 16:39:45
%S 1,80,2430,53760,1050000,19595520,363031200,6812467200,130947062400,
%T 2594592000000,53182390060800,1129830653952000,24898991749632000,
%U 569337009905664000,13505007035520000000,332172220849717248000
%N a(n) = (n+1)^4*(4+n)!/24.
%C Row 4 of square array A152818.
%H G. C. Greubel, <a href="/A154307/b154307.txt">Table of n, a(n) for n = 0..250</a>
%F E.g.f.: (1 + 71*x + 531*x^2 + 821*x^3 + 256*x^4)/(1-x)^9. - _R. J. Mathar_, Dec 21 2011
%t Table[(n + 1)^4*(4 + n)!/24, {n, 0, 25}] (* _G. C. Greubel_, Sep 10 2016 *)
%o (Magma) [(n+1)^4*Factorial(4+n)/24: n in [0..20]]; // _Vincenzo Librandi_, Sep 11 2016
%Y Cf. A000142, A001563, A055533, A152818, A154306, A154308.
%K nonn
%O 0,2
%A _Omar E. Pol_, Jan 06 2009
%E Extended by _Max Alekseyev_, Apr 13 2009