This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A082724 #17 Apr 09 2023 13:05:42 %S A082724 1,9,93,1005,11001,120849,1328853,14615925,160770801,1768465689, %T A082724 19453083213,213983797245,2353821415401,25892034506529, %U A082724 284812376383173,3132936130648965,34462297408440801,379085271406755369 %N A082724 a(n) = (3*11^n + 3^n)/4. %C A082724 Binomial transform of A083234. %H A082724 Vincenzo Librandi, <a href="/A082724/b082724.txt">Table of n, a(n) for n = 0..300</a> %H A082724 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (14,-33). %F A082724 a(n) = (3*11^n + 3^n)/4. %F A082724 G.f.: (1-5*x)/((1-11*x)*(1-3*x)). %F A082724 E.g.f.: (3*exp(11*x) + exp(3*x))/4. %t A082724 Table[(3*11^n+3^n)/4,{n,0,20}] (* or *) LinearRecurrence[{14,-33},{1,9},20] (* _Harvey P. Dale_, Apr 09 2023 *) %o A082724 (Magma)[(3*11^n+3^n)/4: n in [0..25]]; // _Vincenzo Librandi_, Jun 29 2011 %K A082724 easy,nonn %O A082724 0,2 %A A082724 _Paul Barry_, Apr 23 2003