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A195634
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Denominators a(n) of Pythagorean approximations b(n)/a(n) to sqrt(3/4).
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4
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4, 55, 1120, 2997, 35460, 3140676, 1921787, 32412552, 58579212, 441025780, 410535015, 77779347592, 654610870027, 2025218645520, 7961709199049, 29306172663680, 88433963478036, 109778426942667, 2900499582545112, 4716082204442140
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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 = Sqrt[3/4]; z = 28;
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
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AUTHOR
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STATUS
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approved
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