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A197413 Decimal expansion of least x>0 having sin(pi*x/6)=(sin x)^2. 2
1, 9, 6, 0, 6, 6, 9, 6, 5, 4, 5, 8, 7, 9, 3, 5, 5, 9, 3, 9, 5, 4, 4, 8, 6, 8, 8, 3, 3, 1, 5, 7, 6, 5, 6, 8, 5, 3, 1, 5, 9, 7, 0, 0, 2, 3, 6, 7, 6, 8, 2, 2, 3, 1, 5, 7, 7, 3, 5, 6, 1, 5, 0, 9, 2, 1, 7, 0, 1, 5, 8, 8, 6, 1, 8, 5, 3, 3, 8, 8, 4, 0, 0, 3, 4, 1, 5, 1, 5, 3, 0, 4, 5, 7, 7, 5, 6, 1, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The Mathematica program includes a graph.  See A197133 for a guide to least x>0 satisfying sin(b*x)=(sin(c*x))^2 for selected b and c.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

x=1.9606696545879355939544868833157...

MATHEMATICA

b = Pi/6; c = 1; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.95, 1.97},

   WorkingPrecision -> 200]

RealDigits[t] (* A197413 *)

Plot[{f[b*x], f[c*x]^2}, {x, 1.5, 2.5}]

CROSSREFS

Cf. A197133.

Sequence in context: A263177 A154161 A130590 * A021055 A199067 A011114

Adjacent sequences:  A197410 A197411 A197412 * A197414 A197415 A197416

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 14 2011

STATUS

approved

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Last modified September 17 13:00 EDT 2019. Contains 327131 sequences. (Running on oeis4.)