A213842 - OEIS

%I #13 Jun 17 2017 02:59:44

%S 1,24,101,264,545,976,1589,2416,3489,4840,6501,8504,10881,13664,16885,

%T 20576,24769,29496,34789,40680,47201,54384,62261,70864,80225,90376,

%U 101349,113176,125889,139520,154101,169664

%N Principal diagonal of the convolution array A213841.

%H Clark Kimberling, <a href="/A213842/b213842.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).

%F a(n) = (2*n - 15*n^2 + 16*n^3)/3.

%F a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).

%F G.f.: f(x)/g(x), where f(x) = x*(1 + 20*x + 11*x^2) and g(x) = (1-x)^4.

%t (See A213841.)

%Y Cf. A213841.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Jul 05 2012