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 A195535 #12 Dec 07 2016 10:33:04 %S A195535 5,1020,2247,2633277900,2640162496,638843546289,1396487515808, %T A195535 6103353023795,21860678072520,82495605773137,29466852345019792, %U A195535 34041728665663572,292320946605948260,262936589866701605,3964118460886936896 %N A195535 Denominators a(n) of Pythagorean approximations b(n)/a(n) to sqrt(6). %C A195535 See A195500 for a discussion and references. %t A195535 r = Sqrt[6]; z = 18; %t A195535 p[{f_, n_}] := (#1[[2]]/#1[[ %t A195535 1]] &)[({2 #1[[1]] #1[[2]], #1[[1]]^2 - #1[[ %t A195535 2]]^2} &)[({Numerator[#1], Denominator[#1]} &)[ %t A195535 Array[FromContinuedFraction[ %t A195535 ContinuedFraction[(#1 + Sqrt[1 + #1^2] &)[f], #1]] &, {n}]]]]; %t A195535 {a, b} = ({Denominator[#1], Numerator[#1]} &)[ %t A195535 p[{r, z}]] (* A195535, A195536 *) %t A195535 Sqrt[a^2 + b^2] (* A195537 *) %t A195535 (* _Peter J. C. Moses_, Sep 02 2011 *) %Y A195535 Cf. A195500, A195536, A195537. %K A195535 nonn,frac %O A195535 1,1 %A A195535 _Clark Kimberling_, Sep 20 2011