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 A085827 #7 Aug 05 2024 14:58:26
%S A085827 2,6,17,61,126,977090,1474739
%N A085827 Increasing partial quotients of number defined in A085825 and A085826.
%C A085827 977090 occurs at PQ_142, whereas 1474739 occurs at PQ_514488 out of the first 1155900 PQs.
%H A085827 Mark A. Herkommer, <a href="http://www.herkommer.org/misc/herk_num.htm">The Incredible Herkommer Number</a>.
%H A085827 Mark A. Herkommer, <a href="http://www.herkommer.org/misc/contfrac.htm">Continued Fractions</a>.
%t A085827 s = 0; Do[s = Prime[2n]/(Prime[2n + 1] + s), {n, 10^5, 1, -1}]; h = ContinuedFraction[s]; a = 0; k = 1; Do[ While[ h[[k]] ? a, k++ ]; Print[ h[[k]]], {n, 1, 30}]
%Y A085827 Cf. A085825, A085826.
%K A085827 nonn,more
%O A085827 1,1
%A A085827 _Robert G. Wilson v_, Jul 06 2003