A196829 - OEIS

A196829

Decimal expansion of the least x>0 satisfying 1/(1+x^2)=5*sin(x).

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

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

OFFSET

0,2

LINKS

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

EXAMPLE

x=0.1939624306810067166300804717739574865548853986...

MATHEMATICA

Plot[{1/(1 + x^2), Sin[x], 2 Sin[x], 3 Sin[x], 4 Sin[x]}, {x, 0, 2}]

t = x /. FindRoot[1 == (1 + x^2) Sin[x], {x, 0, 1}, WorkingPrecision -> 100]

RealDigits[t] (* A196825 *)

t = x /. FindRoot[1 == 2 (1 + x^2) Sin[x], {x, 0, 1}, WorkingPrecision -> 100]