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 A195577 Denominators a(n) of Pythagorean approximations b(n)/a(n) to 3/5. 8
 1, 4, 56, 299, 1020, 3180, 3901, 20944, 272996, 1465799, 4993800, 15577800, 19105801, 102585004, 1337133056, 7179484499, 24459629220, 76300063380, 93580208101, 502461329944, 6549277433996, 35165113611599, 119803258923600 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A195500 for a discussion and references. LINKS MATHEMATICA 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]} &)[   p[{r, z}]]  (* A195577, A195578 *) Sqrt[a^2 + b^2] (* A195579 *) (* Peter J. C. Moses, Sep 02 2011 *) CROSSREFS Cf. A195500, A195578, A195579. Sequence in context: A331776 A006592 A201448 * A255011 A201620 A204108 Adjacent sequences:  A195574 A195575 A195576 * A195578 A195579 A195580 KEYWORD nonn,frac AUTHOR Clark Kimberling, Sep 21 2011 EXTENSIONS Typos in crossrefs fixed by Colin Barker, Jun 04 2015 STATUS approved

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Last modified June 2 10:12 EDT 2020. Contains 334769 sequences. (Running on oeis4.)