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 A087567 #28 Mar 27 2024 08:59:46
%S A087567 1,7,68,609,5555,50456,458737,4169823,37904764,344559985,3132110411,
%T A087567 28471412592,258809985953,2352626740919,21385776919540,
%U A087567 194400346514241,1767132187070947,16063531893267208,146020234807218449,1327348749622606095,12065825708695393196
%N A087567 a(n) = (1/5)*Sum_{k=0..n} binomial(n,k)*Fibonacci(k)*5^k.
%H A087567 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (7,19).
%F A087567 a(n) = 7*a(n-1) + 19*a(n-2).
%F A087567 G.f.: 1 / (-19*x^2-7*x+1). - _Colin Barker_, Aug 08 2013
%t A087567 LinearRecurrence[{7,19},{1,7},25] (* _Paolo Xausa_, Jan 07 2024 *)
%o A087567 (Sage) [lucas_number1(n,7,-19) for n in range(1, 20)] # _Zerinvary Lajos_, Apr 29 2009
%Y A087567 Cf. A014445, A057088, A015553.
%K A087567 nonn,easy
%O A087567 0,2
%A A087567 _Benoit Cloitre_, Oct 25 2003
%E A087567 More terms from _Colin Barker_, Aug 08 2013