A196832 - OEIS

A196832

Decimal expansion of the number c for which the curve y=1/(1+x^2) is tangent to the curve y=c*sin(x), and 0 < x < 2*Pi.

2, 1, 1, 7, 5, 2, 6, 7, 2, 8, 4, 3, 1, 3, 3, 5, 6, 4, 2, 2, 8, 9, 1, 8, 2, 8, 8, 7, 8, 3, 0, 2, 6, 3, 7, 0, 7, 8, 1, 5, 9, 5, 1, 6, 7, 9, 1, 0, 4, 6, 3, 2, 3, 2, 6, 2, 5, 2, 5, 9, 6, 1, 4, 0, 8, 2, 5, 0, 7, 4, 4, 7, 1, 8, 8, 9, 8, 5, 5, 0, 0, 4, 1, 4, 6, 5, 1, 6, 9, 1, 0, 2, 3, 3, 1, 7, 2, 8, 0, 9

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

0,1

LINKS

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

Index entries for transcendental numbers.

EXAMPLE

0.21175267284313356422891828878302637078159516791....

MATHEMATICA

Plot[{1/(1 + x^2), .205 Sin[x]}, {x, 0, Pi}]

t = x /. FindRoot[x^2 + 2 x*Tan[x] + 1 == 0, {x, 2, 3}, WorkingPrecision -> 100]

RealDigits[t] (* A196831 *)