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 A355901 #6 Sep 03 2022 18:08:35
%S A355901 1,3,5,11,17,71,579,2705
%N A355901 Records in A355899.
%t A355901 nn = 2^16; j = k = r = 1; {1}~Join~Reap[Do[m = # + (j + k)/# &@ GCD[j, k]; If[# > r, r = #; Sow[r]] &[GCD[k, m]]; j = k; k = m, {n, 3, nn}]][[-1, -1]] (* _Michael De Vlieger_, Sep 03 2022 *)
%Y A355901 Cf. A351871, A355898, A355899, A355900.
%K A355901 nonn,more
%O A355901 1,2
%A A355901 _N. J. A. Sloane_, Sep 03 2022