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 A195535 Denominators a(n) of Pythagorean approximations b(n)/a(n) to sqrt(6). 4
 5, 1020, 2247, 2633277900, 2640162496, 638843546289, 1396487515808, 6103353023795, 21860678072520, 82495605773137, 29466852345019792, 34041728665663572, 292320946605948260, 262936589866701605, 3964118460886936896 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A195500 for a discussion and references. LINKS MATHEMATICA r = Sqrt[6]; 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]} &)[   p[{r, z}]]  (* A195535, A195536 *) Sqrt[a^2 + b^2] (* A195537 *) (* Peter J. C. Moses, Sep 02 2011 *) CROSSREFS Cf. A195500, A195536, A195537. Sequence in context: A024072 A119549 A247593 * A004805 A220790 A123266 Adjacent sequences:  A195532 A195533 A195534 * A195536 A195537 A195538 KEYWORD nonn,frac AUTHOR Clark Kimberling, Sep 20 2011 STATUS approved

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Last modified December 15 03:48 EST 2019. Contains 329990 sequences. (Running on oeis4.)