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%I #12 Mar 11 2014 01:41:37
%S 7,2772,5945,26144,285621,257076560,2386970016,103850955649,
%T 254621037540,3060691213613,29733959304728,62837775720000,
%U 89511043811115,453985767379732,1567652657852541,35830073055128140,22926879590846577132
%N Denominators a(n) of Pythagorean approximations b(n)/a(n) to sqrt(12).
%C See A195500 for a discussion and references.
%t r = Sqrt[12]; z = 24;
%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}]] (* A195680, A195681 *)
%t Sqrt[a^2 + b^2] (* A195682 *)
%t (* _Peter J. C. Moses_, Sep 02 2011 *)
%Y Cf. A195500, A195681, A195682.
%K nonn
%O 1,1
%A _Clark Kimberling_, Sep 22 2011
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