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A197252 Decimal expansion of least x>0 having sin(x)=(sin 6x)^2. 2
0, 2, 8, 0, 3, 7, 6, 3, 0, 0, 4, 5, 4, 9, 8, 0, 0, 3, 2, 3, 3, 1, 3, 5, 4, 8, 0, 4, 0, 4, 7, 2, 2, 1, 8, 2, 5, 3, 4, 4, 9, 2, 9, 2, 1, 5, 5, 4, 5, 5, 9, 3, 5, 1, 8, 6, 3, 3, 6, 0, 7, 3, 3, 8, 5, 5, 8, 9, 6, 1, 8, 6, 8, 0, 0, 5, 6, 7, 8, 4, 8, 3, 2, 1, 9, 5, 3, 7, 3, 5, 8, 9, 2, 9, 0, 1, 6, 9, 7, 4, 0 (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..101.

MATHEMATICA

x=0.028037630045498003233135480404722182534...

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

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .01, .1}, WorkingPrecision -> 100]

RealDigits[t] (* A197252 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi}]

CROSSREFS

Cf. A197133.

Sequence in context: A093588 A016593 A020818 * A244122 A021785 A136664

Adjacent sequences:  A197249 A197250 A197251 * A197253 A197254 A197255

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 12 2011

STATUS

approved

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Last modified August 4 13:49 EDT 2020. Contains 336201 sequences. (Running on oeis4.)