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A196766 Decimal expansion for the slope (negative) at the point of tangency of the curves y=c/x and y=sin(x), where c is given by A196765. 2
4, 4, 2, 1, 2, 0, 5, 9, 2, 9, 5, 4, 9, 9, 8, 3, 9, 1, 3, 3, 5, 6, 1, 6, 2, 4, 4, 0, 5, 0, 4, 7, 6, 1, 3, 6, 1, 8, 6, 9, 0, 7, 0, 8, 6, 1, 2, 8, 6, 1, 0, 1, 5, 2, 9, 5, 8, 7, 9, 4, 3, 9, 1, 1, 9, 4, 5, 6, 6, 6, 5, 7, 9, 4, 5, 8, 7, 2, 6, 2, 5, 7, 9, 6, 8, 0, 2, 6, 6, 6, 0, 0, 1, 7, 6, 8, 9, 5, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

EXAMPLE

x=-0.44212059295499839133561624405047613618690708...

MATHEMATICA

Plot[{Sin[x], 1/x, 1.82/x}, {x, 0, Pi}]

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

RealDigits[xt]   (* A196504 *)

c = N[xt*Sin[xt], 100]

RealDigits[c]    (* A196765 *)

slope = Cos[xt]

RealDigits[slope](* A196766 *)

CROSSREFS

Cf. A196765.

Sequence in context: A194678 A153015 A173635 * A153163 A168455 A300153

Adjacent sequences:  A196763 A196764 A196765 * A196767 A196768 A196769

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 06 2011

STATUS

approved

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Last modified October 19 14:54 EDT 2019. Contains 328223 sequences. (Running on oeis4.)