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 A377229 #15 Oct 20 2024 14:14:52
%S A377229 2,3,4,9,44,1486,1357976,1855074754595,2975714380792664939835466,
%T A377229 46528348836004781630107949818181021469921360198769
%N A377229 Lexicographically earliest sequence of positive integers a(1), a(2), ... such that for any n >= 0, s(n) = Sum_{k=1..n} 1/(F(k)*a(k)) < 1, F = Fibonacci.
%H A377229 Alois P. Heinz, <a href="/A377229/b377229.txt">Table of n, a(n) for n = 1..14</a>
%e A377229 s(0), s(1), ... = 0, 1/2, 5/6, 23/24, 215/216, 11879/11880, 17653679/17653680, ... .
%p A377229 F:= combinat[fibonacci]:
%p A377229 s:= proc(n) option remember; `if`(n=0, 0, s(n-1)+1/(F(n)*a(n))) end:
%p A377229 a:= proc(n) option remember; 1+floor(1/((1-s(n-1))*F(n))) end:
%p A377229 seq(a(n), n=1..11);
%Y A377229 Cf. A000045, A079586, A374663, A376058, A377205, A377230.
%K A377229 nonn
%O A377229 1,1
%A A377229 _Alois P. Heinz_, Oct 20 2024