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 A196998 Decimal expansion of xo, where P=(xo,yo) is the point nearest O=(0,0) at which a line y=m*x meets the curve y=cos(5x/2) orthogonally. 2
 1, 0, 5, 5, 5, 3, 7, 1, 3, 5, 0, 7, 5, 4, 7, 5, 2, 4, 9, 8, 5, 4, 1, 4, 8, 4, 1, 7, 8, 9, 2, 2, 9, 0, 3, 5, 4, 1, 2, 2, 2, 7, 9, 8, 0, 6, 9, 6, 2, 7, 3, 2, 9, 7, 3, 0, 4, 0, 0, 8, 2, 4, 1, 7, 5, 4, 1, 5, 4, 5, 5, 4, 2, 8, 0, 0, 9, 4, 4, 9, 3, 6, 6, 6, 9, 4, 4, 5, 9, 1, 5, 5, 0, 4, 5, 7, 4, 7, 1, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS See the Mathematica program for a graph. xo=1.055537135075475249854148417892290354122... yo=0.481836913462240473673427172075977637742... m=0.4564850420234501281397606474354137170643... |OP|=1.1603126538559168441096914160911620183... LINKS MATHEMATICA c = 5/2; xo = x /.  FindRoot[0 == x + c*Sin[c*x] Cos[c*x], {x, .8, 1.2}, WorkingPrecision -> 100] RealDigits[xo] (* A196998 *) m = Sin[c*xo]/xo RealDigits[m]  (* A196999 *) yo = m*xo d = Sqrt[xo^2 + yo^2] Show[Plot[{Sin[c*x], yo - (1/m) (x - xo)}, {x, 0, Pi/c}], ContourPlot[{y == m*x}, {x, 0, Pi/c}, {y, -.1, 1}], PlotRange -> All, AspectRatio -> Automatic] CROSSREFS Cf. A196996, A197000, A197002. Sequence in context: A054245 A302552 A193887 * A232614 A254609 A133707 Adjacent sequences:  A196995 A196996 A196997 * A196999 A197000 A197001 KEYWORD nonn,cons AUTHOR Clark Kimberling, Oct 09 2011 STATUS approved

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Last modified December 9 09:21 EST 2019. Contains 329877 sequences. (Running on oeis4.)