A196826 - OEIS

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A196826

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

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

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

OFFSET

0,1

LINKS

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

EXAMPLE

x=0.43420254999819638681352442196668401983962380...

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]