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%I #14 Mar 25 2021 04:56:57
%S 0,16,360,1920,6160,15120,31416,58240,99360,159120,242440,354816,
%T 502320,691600,929880,1224960,1585216,2019600,2537640,3149440,3865680,
%U 4697616,5657080,6756480,8008800,9427600,11027016,12821760,14827120,17058960
%N a(n) = 4*(3*n+2)*(2*n+1)*(n+2)*(n+1).
%C Middle function 5th down in the triangle A155120.
%H G. C. Greubel, <a href="/A155122/b155122.txt">Table of n, a(n) for n = -1..1000</a>
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F a(n) = 16 + 80*n + 140*n^2 + 100*n^3 + 24*n^4.
%F G.f.: 8*(2 +35*x +35*x^2)/(1-x)^5.
%F E.g.f.: 4*(4 + 86*x + 152*x^2 + 61*x^3 + 6*x^4)*exp(x). - _G. C. Greubel_, Mar 25 2021
%p seq( 4*(3*n+2)*(2*n+1)*(n+2)*(n+1), n=-1..30); # _G. C. Greubel_, Mar 25 2021
%t Table[16 +80*n +140*n^2 +100*n^3 +24*n^4, {n, -1, 30}]
%o (Magma) [4*(3*n+2)*(2*n+1)*(n+2)*(n+1): n in [-1..30]]; // _G. C. Greubel_, Mar 25 2021
%o (Sage) [4*(3*n+2)*(2*n+1)*(n+2)*(n+1) for n in (-1..30)] # _G. C. Greubel_, Mar 25 2021
%Y Cf. A142463.
%K nonn,easy
%O -1,2
%A _Roger L. Bagula_, Jan 20 2009
%E Edited by the Associate Editors of the OEIS, Nov 08 2009, Dec 15 2010
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