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%I #23 Sep 08 2022 08:44:57
%S 1,3,8,22,61,165,430,1080,2627,6223,14428,32874,73849,163977,360602,
%T 786604,1704127,3670227,7864552,16777470,35651861,75497773,159383878,
%U 335544672,704643451,1476395415,3087008180,6442451410
%N G.f.: (1 - 4*x + 6*x^2 - 2*x^3)/((1-x)^3*(1-2*x)^2).
%C a(n) = T(0,n) + T(1,n-1) + ... + T(n,0), array T given by A048494.
%H Vincenzo Librandi, <a href="/A048503/b048503.txt">Table of n, a(n) for n = 0..2000</a>
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (7,-19,25,-16,4).
%F a(n) = (14 + 7*n + n^2 + (n-3)*2^(n+2))/2. - _T. D. Noe_, Dec 11 2006
%o (Magma) [(14+7*n+n^2+(n-3)*2^(n+2))/2 : n in [0..30]]; // _Vincenzo Librandi_, Sep 25 2011
%K nonn,easy
%O 0,2
%A _Clark Kimberling_
%E Better definition from _Ralf Stephan_, Feb 05 2004
%E Corrected by _T. D. Noe_, Dec 11 2006
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