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%I #17 Apr 09 2023 13:05:42
%S 1,9,93,1005,11001,120849,1328853,14615925,160770801,1768465689,
%T 19453083213,213983797245,2353821415401,25892034506529,
%U 284812376383173,3132936130648965,34462297408440801,379085271406755369
%N a(n) = (3*11^n + 3^n)/4.
%C Binomial transform of A083234.
%H Vincenzo Librandi, <a href="/A082724/b082724.txt">Table of n, a(n) for n = 0..300</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (14,-33).
%F a(n) = (3*11^n + 3^n)/4.
%F G.f.: (1-5*x)/((1-11*x)*(1-3*x)).
%F E.g.f.: (3*exp(11*x) + exp(3*x))/4.
%t Table[(3*11^n+3^n)/4,{n,0,20}] (* or *) LinearRecurrence[{14,-33},{1,9},20] (* _Harvey P. Dale_, Apr 09 2023 *)
%o (Magma)[(3*11^n+3^n)/4: n in [0..25]]; // _Vincenzo Librandi_, Jun 29 2011
%K easy,nonn
%O 0,2
%A _Paul Barry_, Apr 23 2003
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