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A197417 Decimal expansion of least x>0 having sin(pi*x/6)=(sin x/3)^2. 2
3, 8, 0, 7, 9, 8, 4, 5, 0, 3, 8, 6, 1, 9, 1, 2, 5, 4, 6, 8, 0, 8, 5, 5, 5, 4, 4, 9, 1, 1, 1, 3, 6, 6, 4, 2, 2, 1, 9, 3, 6, 1, 3, 8, 3, 2, 0, 1, 4, 2, 5, 8, 3, 0, 4, 3, 5, 5, 0, 6, 7, 5, 4, 8, 6, 5, 9, 7, 6, 5, 7, 0, 8, 0, 0, 1, 4, 9, 2, 9, 4, 6, 2, 3, 0, 4, 7, 5, 5, 3, 0, 0, 5, 5, 5, 0, 9, 9, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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=3.80798450386191254680855544911136642219361383...

MATHEMATICA

b = Pi/6; c = 1/3; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 3.8, 3.9}, WorkingPrecision -> 200]

RealDigits[t] (* A197417 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, 4}]

CROSSREFS

Cf. A197133.

Sequence in context: A195197 A154462 A112255 * A085995 A076482 A225802

Adjacent sequences:  A197414 A197415 A197416 * A197418 A197419 A197420

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 14 2011

STATUS

approved

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Last modified December 6 16:24 EST 2019. Contains 329808 sequences. (Running on oeis4.)