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 A343244 #6 Apr 08 2021 22:11:36
%S A343244 5,4,8,14,10,63,120,79,1270,779,1749,3410,13668,17704,20909,175782,
%T A343244 127426
%N A343244 Position of the first occurrence of an element in the continued fraction of zeta(n) which is larger than the second element.
%C A343244 a(20) = 111604.
%C A343244 The corresponding values of the a(n)-th elements are 4, 18, 183, 32, 61, 9283, 462, 1483, 3530, 3484, 10812, 8954, ...
%e A343244 The continued fraction of zeta(3) is [1; 4, 1, 18, 1, 1, ...]. The first element which is larger than 4 is 18 whose position is 4. Therefore, a(3) = 4.
%t A343244 a[n_] := Module[{c = ContinuedFraction[Zeta[n], 10000]}, FirstPosition[c, _?(# > c[[2]] &)][[1]]]; Array[a, 10, 2]
%Y A343244 Cf. A013697.
%Y A343244 Cf. A013679, A013631, A013680, A013681, A013682, A013683, A013684, A013685.
%K A343244 nonn,more
%O A343244 2,1
%A A343244 _Amiram Eldar_, Apr 08 2021