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