%I #16 Jan 04 2022 20:58:52

%S 1,12,60,190,465,966,1792,3060,4905,7480,10956,15522,21385,28770,

%T 37920,49096,62577,78660,97660,119910,145761,175582,209760,248700,

%U 292825,342576,398412,460810,530265,607290,692416

%N Antidiagonal sums of the convolution array A213773.

%H Clark Kimberling, <a href="/A213818/b213818.txt">Table of n, a(n) for n = 1..299</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) = (2*n - n^2 + 3*n^4)/4.

%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 + 7*x + 10*x^2) and g(x) = (1-x)^5.

%F a(n) = A000217(n) * A005448(n). - _John Elias_, Jan 04 2022

%t (See A213773.)

%Y Cf. A213773.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Jul 04 2012