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 A083223 #17 Sep 08 2022 08:45:10 %S A083223 1,4,36,144,1296,5184,46656,186624,1679616,6718464,60466176,241864704, %T A083223 2176782336,8707129344,78364164096,313456656384,2821109907456, %U A083223 11284439629824,101559956668416,406239826673664,3656158440062976 %N A083223 a(n) = (5*6^n+(-6)^n)/6. %H A083223 Vincenzo Librandi, <a href="/A083223/b083223.txt">Table of n, a(n) for n = 0..300</a> %H A083223 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0,36). %F A083223 a(n) = (5*6^n+(-6)^n)/6. %F A083223 G.f.: (1+4*x)/((1+6*x)*(1-6*x)). %F A083223 E.g.f.: (5*exp(6*x)+exp(-6*x))/6. %F A083223 a(n) = 36*a(n-2). - _Wesley Ivan Hurt_, Jun 24 2021 %t A083223 CoefficientList[Series[(1+4x)/((1+6x)(1-6x)),{x,0,50}],x] (* _Harvey P. Dale_, Mar 01 2011 *) %o A083223 (Magma) [(5*6^n+(-6)^n)/6: n in [0..25]]; // _Vincenzo Librandi_, Jun 29 2011 %Y A083223 Cf. A083222, A083224. %K A083223 easy,nonn %O A083223 0,2 %A A083223 _Paul Barry_, Apr 23 2003