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A196772 Decimal expansion of the number c for which the curve y=1/x is tangent to the curve y=sin(x-c), and 0<x<2 pi; c=pi-sqrt(r)-arccos(r-1), where r=(1+sqrt(5))/2 (the golden ratio). 7
9, 6, 5, 0, 1, 6, 1, 0, 9, 7, 7, 3, 3, 4, 2, 9, 1, 0, 0, 8, 2, 9, 0, 4, 1, 2, 5, 8, 8, 0, 0, 5, 2, 6, 7, 1, 0, 5, 0, 4, 6, 6, 7, 9, 6, 5, 7, 3, 4, 0, 4, 5, 0, 4, 7, 0, 2, 3, 0, 5, 7, 5, 6, 4, 1, 8, 5, 8, 9, 6, 1, 6, 9, 8, 6, 0, 9, 5, 7, 6, 9, 1, 9, 1, 5, 4, 0, 0, 2, 8, 8, 5, 2, 1, 7, 9, 4, 1, 0, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..99.

EXAMPLE

c=0.965016109773342910082904125880052671050...

MATHEMATICA

Plot[{Sin[x + .97], 1/x}, {x, 0, Pi}]

r = GoldenRatio; x = Sqrt[r];

c = N[Pi - x - ArcCos[r - 1], 100]

RealDigits[c]      (* A196772 *)

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

RealDigits[slope]  (* 1-r *)

CROSSREFS

Cf. A195625, A196767.

Sequence in context: A021916 A154183 A200138 * A225406 A247040 A019942

Adjacent sequences:  A196769 A196770 A196771 * A196773 A196774 A196775

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 06 2011

STATUS

approved

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Last modified June 25 10:29 EDT 2019. Contains 324351 sequences. (Running on oeis4.)