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 A083583 #17 Sep 08 2022 08:45:10 %S A083583 1,8,24,72,216,648,1944,5832,17496,52488,157464,472392,1417176, %T A083583 4251528,12754584,38263752,114791256,344373768,1033121304,3099363912, %U A083583 9298091736,27894275208,83682825624,251048476872,753145430616,2259436291848 %N A083583 a(n) = (8*3^n - 5*0^n)/3. %H A083583 Vincenzo Librandi, <a href="/A083583/b083583.txt">Table of n, a(n) for n = 0..300</a> %H A083583 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (3). %F A083583 a(n) = (8*3^n - 5*0^n)/3. %F A083583 G.f.: (1+5*x)/(1-3*x). %F A083583 E.g.f.: (8*exp(3x) - 5*exp(0))/3. %F A083583 a(n) = A005051(n-1), n > 0. - _R. J. Mathar_, Sep 17 2008 %t A083583 Join[{1},NestList[3#&,8,30]] (* _Harvey P. Dale_, Apr 08 2020 *) %o A083583 (Magma) [(8*3^n-5*(0)^n)/3: n in [0..30]]; // _Vincenzo Librandi_, Jun 10 2011 %Y A083583 Cf. A083854. %K A083583 easy,nonn %O A083583 0,2 %A A083583 _Paul Barry_, May 01 2003