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 A162814 #5 Sep 08 2022 08:45:46
%S A162814 5,18,78,360,1692,7992,37800,178848,846288,4004640,18950112,89672832,
%T A162814 424336320,2007980928,9501867648,44963320320,212768716032,
%U A162814 1006832374272,4764381949440,22545297451008,106685493009408,504841173350400
%N A162814 a(n) = 6*a(n-1)-6*a(n-2) for n > 1; a(0) = 5, a(1) = 18.
%C A162814 Binomial transform of A162563. Inverse binomial transform of A162815.
%H A162814 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (6,-6).
%F A162814 a(n) = ((5+sqrt(3))*(3+sqrt(3))^n+(5-sqrt(3))*(3-sqrt(3))^n)/2.
%F A162814 G.f.: (5-12*x)/(1-6*x+6*x^2).
%t A162814 LinearRecurrence[{6,-6},{5,18},40] (* _Harvey P. Dale_, Mar 26 2022 *)
%o A162814 (Magma) [ n le 2 select 13*n-8 else 6*Self(n-1)-6*Self(n-2): n in [1..22] ];
%Y A162814 Cf. A162563, A162815.
%K A162814 nonn
%O A162814 0,1
%A A162814 Al Hakanson (hawkuu(AT)gmail.com) and _Klaus Brockhaus_, Jul 14 2009