A196757 - OEIS

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A196757

Decimal expansion of the least x>0 satisfying 1=6x*sin(x).

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

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

OFFSET

0,1

LINKS

Table of n, a(n) for n=0..100.

EXAMPLE

x=0.4141599332318729755137578963204421123096...

MATHEMATICA

Plot[{1/x, Sin[x], 2 Sin[x], 3*Sin[x], 4 Sin[x]}, {x, 0, 2 Pi}]

t = x /. FindRoot[1/x == Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]

RealDigits[t] (* A133866 *)

t = x /. FindRoot[1/x == 2 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]