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%I #15 Sep 08 2022 08:44:57
%S 1,5,35,160,577,1816,5245,14288,37313,94384,232861,563080,1339249,
%T 3141464,7282493,16711456,38010625,85786336,192282301,428342936,
%U 948960881,2091908680,4590665245,10032774640,21843934657
%N a(n) = T(n,n), array T given by A048505.
%H Vincenzo Librandi, <a href="/A048515/b048515.txt">Table of n, a(n) for n = 0..2000</a>
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (9,-33,63,-66,36,-8).
%F a(n) = (9*n^2 + n) * 2^(n-2) - n^2 + 1. - _Ralf Stephan_, Feb 05 2004
%F G.f.: -(8*x^5-43*x^4+53*x^3-23*x^2+4*x-1) / ((x-1)^3*(2*x-1)^3). - _Colin Barker_, Feb 25 2015
%o (Magma) [(9*n^2 + n) * 2^(n-2) - n^2 + 1: n in [0..30]]; // _Vincenzo Librandi_, Sep 26 2011
%o (PARI) Vec(-(8*x^5-43*x^4+53*x^3-23*x^2+4*x-1)/((x-1)^3*(2*x-1)^3) + O(x^100)) \\ _Colin Barker_, Feb 25 2015
%K nonn,easy
%O 0,2
%A _Clark Kimberling_
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