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A195580
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Denominators a(n) of Pythagorean approximations b(n)/a(n) to 4/5.
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4
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4, 600, 2600, 15996, 2460800, 10652800, 65552004, 10084355800, 43655173800, 268632095996, 41325687609600, 178898891577600, 1100854263840004, 169352657739783000, 733127614029833000, 4511300504584239996, 694007150091943126400
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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 = 4/5; z = 18;
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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