%I #18 Jun 17 2017 03:06:27
%S 1,10,46,140,335,686,1260,2136,3405,5170,7546,10660,14651,19670,25880,
%T 33456,42585,53466,66310,81340,98791,118910,141956,168200,197925,
%U 231426,269010,310996,357715,409510,466736
%N Antidiagonal sums of the convolution array A213833.
%H Clark Kimberling, <a href="/A213834/b213834.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) = n*(n+1)*(3*n^2 - 2*n + 2)/6.
%F a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5).
%F G.f.: f(x)/g(x), where f(x) = x*(1 + 2*x)(1 + 3*x) and g(x) = (1-x)^5.
%t (See A213833.)
%Y Cf. A213833.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Jul 04 2012