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A195544
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Denominators a(n) of Pythagorean approximations b(n)/a(n) to Pi.
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4
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12, 52, 315, 1044, 3296, 20919, 217620, 450296, 125510644, 138980066871, 289898680472, 3593636117787, 34812833117460, 1934468176818608, 1244148342635075, 86081645453428848, 8659539839551787053788, 138771143651019468539176
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OFFSET
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1,1
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COMMENTS
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See A195500 for a discussion and references.
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LINKS
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MATHEMATICA
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r = Pi; z = 21;
p[{f_, n_}] := (#1[[2]]/#1[[
1]] &)[({2 #1[[1]] #1[[2]], #1[[1]]^2 - #1[[
2]]^2} &)[({Numerator[#1], Denominator[#1]} &)[
Array[FromContinuedFraction[
ContinuedFraction[(#1 + Sqrt[1 + #1^2] &)[f], #1]] &, {n}]]]];
{a, b} = ({Denominator[#1], Numerator[#1]} &)[
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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