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 A083299 #12 Jun 29 2023 18:20:16 %S A083299 1,4,32,160,1088,6016,38144,220672,1356800,8009728,48582656,289398784, %T A083299 1744781312,10435133440,62745018368,375933239296,2257746919424, %U A083299 13537891581952,81261709230080,487432816427008,2925146654375936 %N A083299 a(n) = (4*6^n + (-4)^n)/5. %C A083299 Binomial transform of A083222. %H A083299 Vincenzo Librandi, <a href="/A083299/b083299.txt">Table of n, a(n) for n = 0..300</a> %H A083299 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2, 24). %F A083299 a(n) = (4*6^n + (-4)^n)/5. %F A083299 G.f.: (1+2*x)/((1-6*x)*(1+4*x)). %F A083299 E.g.f.: (4*exp(6*x) + exp(-4*x))/5. %o A083299 (Magma) [(4*6^n+(-4)^n)/5: n in [0..25]]; // _Vincenzo Librandi_, Jun 01 2011 %Y A083299 Cf. A083300. %K A083299 easy,nonn %O A083299 0,2 %A A083299 _Paul Barry_, Apr 24 2003