%I #18 Sep 08 2022 08:44:57
%S 1,65,210,536,1264,2880,6448,14288,31440,68816,149968,325584,704464,
%T 1519568,3268560,7012304,15007696,32047056,68288464,145227728,
%U 308281296,653262800,1382023120,2919235536,6157238224,12968787920
%N a(n) = T(7,n), array T given by A048505.
%C n-th difference of a(n), a(n-1), ..., a(0) is (64, 81, 100, 121, ...).
%H Vincenzo Librandi, <a href="/A048512/b048512.txt">Table of n, a(n) for n = 0..2000</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (7,-18,20,-8).
%F a(n) = (n^2+29*n+196) * 2^(n-2) - 48. - _Ralf Stephan_, Feb 05 2004
%F a(n) = 7*a(n-1)-18*a(n-2)+20*a(n-3)-8*a(n-4). - _Colin Barker_, Feb 25 2015
%F G.f.: (216*x^3-227*x^2+58*x+1) / ((x-1)*(2*x-1)^3). - _Colin Barker_, Feb 25 2015
%o (Magma) [(n^2+29*n+196) * 2^(n-2) - 48: n in [0..30]]; // _Vincenzo Librandi_, Sep 26 2011
%o (PARI) Vec((216*x^3-227*x^2+58*x+1)/((x-1)*(2*x-1)^3) + O(x^100)) \\ _Colin Barker_, Feb 25 2015
%K nonn,easy
%O 0,2
%A _Clark Kimberling_