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A196758 Decimal expansion of the number c for which the curve y=1/x is tangent to the curve y=c*sin(x), and 0<x<2*pi. 8
5, 4, 9, 5, 3, 9, 3, 9, 9, 3, 5, 5, 1, 5, 3, 4, 1, 1, 5, 2, 1, 9, 3, 8, 9, 8, 7, 3, 2, 5, 3, 8, 3, 9, 3, 8, 0, 9, 0, 0, 3, 3, 7, 2, 8, 1, 1, 5, 2, 8, 5, 6, 2, 7, 9, 9, 1, 4, 1, 4, 4, 8, 6, 9, 2, 6, 4, 3, 3, 4, 8, 0, 3, 1, 1, 8, 0, 1, 2, 5, 1, 7, 1, 0, 9, 1, 7, 7, 2, 2, 1, 6, 8, 3, 7, 7, 9, 3, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

c=0.5495393993551534115219389873253839380900...

MATHEMATICA

Plot[{1/x, .55*Sin[x]}, {x, 0, Pi}]

xt = x /. FindRoot[x + Tan[x] == 0, {x, 1.5, 2.5}, WorkingPrecision -> 100]

RealDigits[xt] (* A196504 *)

c = N[1/(xt*Sin[xt]), 100]

RealDigits[c]  (* A196758 *)

slope = -1/xt^2

RealDigits[slope]  (* A196759 *)

CROSSREFS

Cf. A196624.

Sequence in context: A212878 A092302 A002389 * A019776 A057763 A198609

Adjacent sequences:  A196755 A196756 A196757 * A196759 A196760 A196761

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 06 2011

STATUS

approved

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Last modified February 21 23:29 EST 2019. Contains 320381 sequences. (Running on oeis4.)