A196621 - OEIS

A196621

Decimal expansion of the least x > 0 satisfying 1 = x*cos(x - Pi/3).

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

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

OFFSET

1,6

LINKS

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

EXAMPLE

x=1.0010650483255460284713072903054034845677614187490536443...

MATHEMATICA

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

0, 2 Pi}]

t = x /. FindRoot[1/x == Cos[x], {x, 4, 7}, WorkingPrecision -> 100]

RealDigits[t] (* A133868 *)