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 A195553 #12 Dec 07 2016 10:34:49 %S A195553 5,260,7020,94635,5103280,137599280,1855038645,100034487540, %T A195553 2697221086300,36362467421275,1960876019662560,52870927596046560, %U A195553 712777084536797285,38437091637391006820,1036375920040483589580,13971856374727832955915 %N A195553 Denominators a(n) of Pythagorean approximations b(n)/a(n) to 5/2. %C A195553 See A195500 for a discussion and references. %t A195553 r = 5/2; z = 18; %t A195553 p[{f_, n_}] := (#1[[2]]/#1[[ %t A195553 1]] &)[({2 #1[[1]] #1[[2]], #1[[1]]^2 - #1[[ %t A195553 2]]^2} &)[({Numerator[#1], Denominator[#1]} &)[ %t A195553 Array[FromContinuedFraction[ %t A195553 ContinuedFraction[(#1 + Sqrt[1 + #1^2] &)[f], #1]] &, {n}]]]]; %t A195553 {a, b} = ({Denominator[#1], Numerator[#1]} &)[ %t A195553 p[{r, z}]] (* A195553, A195554 *) %t A195553 Sqrt[a^2 + b^2] (* A195555 *) %t A195553 (* _Peter J. C. Moses_, Sep 02 2011 *) %Y A195553 Cf. A195500, A195554, A195555. %K A195553 nonn,frac %O A195553 1,1 %A A195553 _Clark Kimberling_, Sep 21 2011