%I
%S 12,52,315,1044,3296,20919,217620,450296,125510644,138980066871,
%T 289898680472,3593636117787,34812833117460,1934468176818608,
%U 1244148342635075,86081645453428848,8659539839551787053788,138771143651019468539176
%N Denominators a(n) of Pythagorean approximations b(n)/a(n) to Pi.
%C See A195500 for a discussion and references.
%t r = Pi; z = 21;
%t p[{f_, n_}] := (#1[[2]]/#1[[
%t 1]] &)[({2 #1[[1]] #1[[2]], #1[[1]]^2  #1[[
%t 2]]^2} &)[({Numerator[#1], Denominator[#1]} &)[
%t Array[FromContinuedFraction[
%t ContinuedFraction[(#1 + Sqrt[1 + #1^2] &)[f], #1]] &, {n}]]]];
%t {a, b} = ({Denominator[#1], Numerator[#1]} &)[
%t p[{r, z}]] (* A195544, A195545 *)
%t Sqrt[a^2 + b^2] (* A195546 *)
%t (* _Peter J. C. Moses_, Sep 02 2011 *)
%Y Cf. A195500, A195545, A195546.
%K nonn,frac
%O 1,1
%A _Clark Kimberling_, Sep 20 2011
