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 A383741 #17 May 08 2025 07:12:13
%S A383741 5,29,1189,39005,1332869,45232349,1536836005,52205623709,
%T A383741 1773463509509,60245500431005,2046573861616549,69523263984968669,
%U A383741 2361744412174224005,80229786688466775389,2725451003353980465829,92585104325258634975005,3145168096067610728884229
%N A383741 a(0) = 5; a(n) = Pell(5*n)/Pell(n) for n > 0.
%H A383741 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (29,174,-174,-29,1).
%F A383741 a(n) = 29*a(n-1) + 174*a(n-2) - 174*a(n-3) - 29*a(n-4) + a(n-5).
%F A383741 G.f.: (5-116*x-522*x^2+348*x^3+29*x^4)/((1-x) * (1+6*x+x^2) * (1-34*x+x^2)).
%t A383741 a[n_] := Fibonacci[5*n, 2]/Fibonacci[n, 2]; a[0] = 5; Array[a, 17, 0] (* _Amiram Eldar_, May 08 2025 *)
%o A383741 (PARI) my(N=30, x='x+O('x^N)); Vec((5-116*x-522*x^2+348*x^3+29*x^4)/((1-x)*(1+6*x+x^2)*(1-34*x+x^2)))
%Y A383741 Row n=5 of A383742.
%Y A383741 Cf. A000129, A099931.
%K A383741 nonn,easy
%O A383741 0,1
%A A383741 _Seiichi Manyama_, May 07 2025