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 A099164 #7 Dec 08 2022 10:13:19
%S A099164 1,2,5,13,36,103,301,890,2649,7913,23684,70963,212745,638002,1913629,
%T A099164 5740277,17219844,51657935,154971221,464909482,1394721681,4184154097,
%U A099164 12552444580,37657305083,112971868881,338915531618,1016746473461
%N A099164 (L(n+2)+2*3^n)/5.
%C A099164 Binomial transform of A099163.
%H A099164 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (4,-2,-3).
%F A099164 G.f.: (1-2x-x^2)/((1-3x)(1-x-x^2)); a(n)=4a(n-1)-2a(n-2)-3a(n-3); a(n)=((1+sqrt(5))/2)^n(3/10+sqrt(5)/10)+((1-sqrt(5))/2)^n(3/10-sqrt(5)/10)+2*3^n/5; a(n)=sum{k=0..n, 3^k(0^(n-k)-Fib(n-k))}.
%t A099164 LinearRecurrence[{4,-2,-3},{1,2,5},30] (* _Harvey P. Dale_, Dec 08 2022 *)
%Y A099164 Cf. A000032, A000045.
%K A099164 easy,nonn
%O A099164 0,2
%A A099164 _Paul Barry_, Oct 01 2004