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 A034659 #20 Aug 23 2024 18:01:34 %S A034659 1,6,61,666,7321,80526,885781,9743586,107179441,1178973846, %T A034659 12968712301,142655835306,1569214188361,17261356071966, %U A034659 189874916791621,2088624084707826,22974864931786081,252723514249646886,2779958656746115741,30579545224207273146,336374997466280004601 %N A034659 a(n) = (11^n + 1)/2. %H A034659 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-11). %F A034659 a(n) = 11*a(n-1) - 5 (with a(0)=1). - _Vincenzo Librandi_, Nov 17 2010 %F A034659 G.f.: (1-6*x)/((1-x)*(1-11*x)). - _Colin Barker_, May 04 2012 %F A034659 From _Elmo R. Oliveira_, Aug 23 2024: (Start) %F A034659 E.g.f.: exp(6*x)*cosh(5*x). %F A034659 a(n) = A034524(n)/2. %F A034659 a(n) = 12*a(n-1) - 11*a(n-2) for n > 1. (End) %o A034659 (PARI) a(n)=(11^n+1)/2 \\ _Charles R Greathouse IV_, Aug 23 2024 %Y A034659 Cf. A034524. %K A034659 nonn,easy %O A034659 0,2 %A A034659 _N. J. A. Sloane_ %E A034659 a(18)-a(20) from _Elmo R. Oliveira_, Aug 23 2024