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%I #13 Mar 30 2024 18:51:40
%S 1,31,111,343,979,2655,6943,17663,43967,107519,259071,616447,1451007,
%T 3383295,7823359,17956863,40943615,92798975,209190911,469237759,
%U 1047789567,2329935871,5161091071,11391729663,25060966399,54962159615,120191975423,262127222783
%N T(4,n) with T(n,m) as in A063394.
%H Colin Barker, <a href="/A063397/b063397.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (9,-32,56,-48,16).
%F a(n) = (6*(-4+27*2^n)+191*2^n*n+15*2^(1+n)*n^2+2^n*n^3)/24 for n>0. - _Colin Barker_, May 27 2015
%F G.f.: -(76*x^5-244*x^4+280*x^3-136*x^2+22*x+1) / ((x-1)*(2*x-1)^4). - _Colin Barker_, May 27 2015
%t LinearRecurrence[{9,-32,56,-48,16},{1,31,111,343,979,2655},30] (* _Harvey P. Dale_, Mar 30 2024 *)
%o (PARI) Vec(-(76*x^5-244*x^4+280*x^3-136*x^2+22*x+1) / ((x-1)*(2*x-1)^4) + O(x^100)) \\ _Colin Barker_, May 27 2015
%Y Cf. A063394, A063396, A063398.
%K easy,nonn
%O 0,2
%A _Floor van Lamoen_, Jul 16 2001
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