A196769 - OEIS

A196769

Decimal expansion of the least x > 0 satisfying 1 = x*sin(x - Pi/4).

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

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

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..100.

EXAMPLE

x=1.5095068322244728855653262204377685055328808170667196...

MATHEMATICA

Plot[{1/x, Sin[x], Sin[x - Pi/2], Sin[x - Pi/3], Sin[x - Pi/4]}, {x,

0, 2 Pi}]

t = x /. FindRoot[1/x == Sin[x], {x, 1, 1.2}, WorkingPrecision -> 100]

RealDigits[t] (* A133866 *)