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 A074616 #19 Jan 06 2025 06:31:55
%S A074616 2,12,74,468,3026,19932,133274,901668,6155426,42306732,292240874,
%T A074616 2026154868,14085427826,98109713532,684326588474,4778079088068,
%U A074616 33385518460226,233393453440332,1632228295176074,11417968671701268
%N A074616 a(n) = 5^n + 7^n.
%H A074616 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-35).
%F A074616 From _Mohammad K. Azarian_, Jan 11 2009: (Start)
%F A074616 G.f.: 1/(1-5*x) + 1/(1-7*x).
%F A074616 E.g.f.: e^(5*x) + e^(7*x). (End)
%F A074616 a(n) = 12*a(n-1) - 35*a(n-2) with a(0)=2, a(1)=12. - _Vincenzo Librandi_, Jul 21 2010
%t A074616 Table[5^n + 7^n, {n, 0, 20}]
%t A074616 LinearRecurrence[{12,-35},{2,12},20] (* _Harvey P. Dale_, Aug 26 2021 *)
%Y A074616 Cf. A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062396, A007689, A063376, A063481, A074600..A074624.
%K A074616 easy,nonn
%O A074616 0,1
%A A074616 _Robert G. Wilson v_, Aug 26 2002