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 A074506 #22 May 12 2025 16:18:27
%S A074506 3,8,26,92,338,1268,4826,18572,72098,281828,1107626,4371452,17308658,
%T A074506 68703188,273218426,1088090732,4338014018,17309009348,69106897226,
%U A074506 276040168412,1102998412178,4408506864308,17623567104026
%N A074506 a(n) = 1^n + 3^n + 4^n.
%H A074506 Bruno Berselli, <a href="/A074506/b074506.txt">Table of n, a(n) for n = 0..1000</a>.
%H A074506 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (8,-19,12).
%F A074506 a(n) = 7*a(n-1) - 12*a(n-2) + 6 with a(0)=3, a(1)=8. - _Vincenzo Librandi_, Jul 19 2010
%F A074506 a(n) = 8*a(n-1) - 19*a(n-2) + 12*a(n-3). - _R. J. Mathar_, Jul 18 2010
%F A074506 From _Mohammad K. Azarian_, Dec 26 2008: (Start)
%F A074506 G.f.: 1/(1-x) + 1/(1-3*x) + 1/(1-4*x).
%F A074506 E.g.f.: e^x + e^(3*x) + e^(4*x). (End)
%t A074506 Table[1^n + 3^n + 4^n, {n, 0, 22}]
%t A074506 LinearRecurrence[{8,-19,12},{3,8,26},30] (* _Harvey P. Dale_, May 12 2025 *)
%Y A074506 Cf. A001550, A001576, A034513, A001579, A074501..A074580.
%Y A074506 Equals A074605(n) + 1.
%K A074506 easy,nonn
%O A074506 0,1
%A A074506 _Robert G. Wilson v_, Aug 23 2002