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A196774 Decimal expansion of the number c for which the curve y=c+1/x is tangent to the curve y=sin(x), and 0<x<2*pi. 5
4, 2, 0, 8, 4, 2, 7, 5, 2, 6, 5, 6, 6, 7, 4, 1, 9, 5, 1, 6, 0, 6, 5, 3, 1, 2, 5, 0, 6, 9, 3, 2, 7, 8, 2, 4, 9, 0, 7, 0, 4, 2, 6, 0, 6, 5, 4, 9, 7, 3, 8, 9, 8, 9, 0, 5, 0, 2, 0, 0, 6, 4, 2, 0, 9, 6, 9, 4, 9, 8, 0, 6, 5, 0, 6, 4, 7, 9, 2, 4, 4, 8, 6, 7, 5, 2, 7, 9, 8, 5, 5, 9, 2, 8, 9, 1, 2, 3, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

EXAMPLE

x=0.4208427526566741951606531250693278249070426065...

MATHEMATICA

Plot[{1/x + .42, Sin[x]}, {x, 0, 2 Pi}]

t = x /. FindRoot[-1 == (x^2) Cos[x], {x, 1.5, 2.5}, WorkingPrecision -> 100]

RealDigits[t]    (* A196773 *)

c = N[-1/t + Sin[t], 100]

RealDigits[c]    (* A196774 *)

slope = N[-1/t^2, 100]

RealDigits[slope](* A196775 *)

CROSSREFS

Cf. A196773, A196775.

Sequence in context: A197813 A200496 A058546 * A219245 A299769 A091435

Adjacent sequences:  A196771 A196772 A196773 * A196775 A196776 A196777

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 06 2011

STATUS

approved

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Last modified July 23 13:58 EDT 2019. Contains 325254 sequences. (Running on oeis4.)