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 A238055 #14 Aug 28 2023 14:29:32 %S A238055 6,19,58,175,526,1579,4738,14215,42646,127939,383818,1151455,3454366, %T A238055 10363099,31089298,93267895,279803686,839411059,2518233178,7554699535, %U A238055 22664098606,67992295819,203976887458,611930662375,1835791987126,5507375961379,16522127884138 %N A238055 a(n) = (13*3^n-1)/2. %H A238055 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4,-3). %F A238055 a(n) = 3*a(n-1) + 1, a(0)=6. %F A238055 a(n) = 4*a(n-1) - 3*a(n-2), a(0)=6, a(1)=19. %F A238055 a(n) = 2*A237930(n) - A003462(n). %F A238055 a(n) = A052909(n+1) + A000244(n). %F A238055 a(n) = A237930(n) + A000244(n+1). %F A238055 a(n) = 13*A003462(n) + 6. %F A238055 G.f.: (6-5*x)/((1-x)*(1-3*x)). %F A238055 E.g.f.: exp(x)*(13*exp(2*x) - 1)/2. - _Stefano Spezia_, Aug 28 2023 %e A238055 Ternary....................Decimal %e A238055 20...............................6 %e A238055 201.............................19 %e A238055 2011............................58 %e A238055 20111..........................175 %e A238055 201111.........................526 %e A238055 2011111.......................1579 %e A238055 20111111......................4738 %e A238055 201111111....................14215, etc. %Y A238055 Cf. A000244, A003462, A052909, A060816, A237930. %K A238055 nonn,easy %O A238055 0,1 %A A238055 _Philippe Deléham_, Feb 17 2014