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A195577
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Denominators a(n) of Pythagorean approximations b(n)/a(n) to 3/5.
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8
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1, 4, 56, 299, 1020, 3180, 3901, 20944, 272996, 1465799, 4993800, 15577800, 19105801, 102585004, 1337133056, 7179484499, 24459629220, 76300063380, 93580208101, 502461329944, 6549277433996, 35165113611599, 119803258923600
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OFFSET
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1,2
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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 = 3/5; z = 26;
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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EXTENSIONS
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STATUS
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approved
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