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 A197031 Decimal expansion of the shortest distance from x axis through (1,sqrt(2)) to y axis. 1
 3, 3, 9, 7, 3, 4, 6, 9, 5, 1, 0, 1, 7, 6, 9, 3, 4, 4, 1, 2, 7, 7, 9, 1, 3, 7, 5, 5, 5, 0, 1, 4, 1, 0, 7, 9, 0, 4, 8, 9, 4, 8, 3, 4, 8, 7, 5, 2, 7, 1, 7, 7, 6, 3, 8, 3, 9, 0, 1, 6, 2, 1, 4, 8, 3, 4, 9, 4, 4, 0, 2, 8, 9, 4, 5, 1, 6, 7, 8, 5, 1, 6, 6, 0, 9, 9, 1, 1, 3, 2, 6, 0, 6, 7, 1, 8, 4, 5, 9, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A197008 for a discussion and guide to related sequences. LINKS EXAMPLE d=3.397346951017693441277913755501410790489483... x-intercept=(2.2599...,0) y-intercept=(0,2.5366...) MATHEMATICA f[x_] := x^2 + (k*x/(x - h))^2; t = h + (h*k^2)^(1/3); h = 1; k = Sqrt[2]; d = N[f[t]^(1/2), 100] RealDigits[d] (* A197031 *) x = N[t] (* x-intercept *) y = N[k*t/(t - h)] (* y-intercept *) Show[Plot[k + k (x - h)/(h - t), {x, 0, t}], ContourPlot[(x - h)^2 + (y - k)^2 == .001, {x, 0, 4}, {y, 0, 5}], PlotRange -> All, AspectRatio -> Automatic] CROSSREFS Cf. A197008. Sequence in context: A200494 A156164 A198613 * A065483 A019745 A173815 Adjacent sequences:  A197028 A197029 A197030 * A197032 A197033 A197034 KEYWORD nonn,cons AUTHOR Clark Kimberling, Oct 10 2011 STATUS approved

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Last modified December 5 12:24 EST 2021. Contains 349557 sequences. (Running on oeis4.)