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%I #8 Jun 13 2015 00:51:16
%S 2,16,51,118,230,402,651,996,1458,2060,2827,3786,4966,6398,8115,10152,
%T 12546,15336,18563,22270,26502,31306,36731,42828,49650,57252,65691,
%U 75026,85318,96630,109027,122576,137346,153408,170835,189702,210086
%N Third column (m=4) of array A090452.
%H Harvey P. Dale, <a href="/A090453/b090453.txt">Table of n, a(n) for n = 0..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)= (n+1)*(n^3+15*n^2+56*n+24)/12.
%F G.f.: (2+6*x-9*x^2+3*x^3)/(1-x)^5.
%t Table[(n+1)(n^3+15n^2+56n+24)/12,{n,0,40}] (* or *) LinearRecurrence[{5,-10,10,-5,1},{2,16,51,118,230},40] (* _Harvey P. Dale_, Dec 07 2014 *)
%Y Cf. A055998, A090454.
%K nonn,easy
%O 0,1
%A _Wolfdieter Lang_, Dec 23 2003