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A197394 Decimal expansion of least x>0 having sin(pi*x/4)=(sin x/3)^2. 2
2, 9, 9, 8, 8, 7, 3, 7, 3, 2, 3, 3, 1, 8, 9, 8, 6, 2, 1, 7, 7, 6, 8, 5, 1, 9, 0, 3, 1, 3, 9, 1, 6, 1, 0, 2, 1, 9, 0, 2, 4, 5, 5, 2, 2, 8, 6, 7, 3, 2, 7, 1, 9, 5, 4, 0, 2, 6, 0, 1, 4, 1, 6, 1, 9, 5, 0, 6, 8, 4, 6, 1, 8, 6, 6, 1, 4, 4, 9, 9, 7, 3, 2, 2, 8, 5, 1, 0, 3, 2, 9, 6, 2, 7, 6, 4, 0, 3, 8 (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=2.998873732331898621776851903139161021...

MATHEMATICA

b = Pi/4; c = 1/3; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2.95, 3.0}, WorkingPrecision -> 200]

RealDigits[t](* A197394 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, 3.1}]

CROSSREFS

Cf. A197133.

Sequence in context: A266274 A003678 A201683 * A198942 A168333 A238412

Adjacent sequences:  A197391 A197392 A197393 * A197395 A197396 A197397

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 14 2011

STATUS

approved

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Last modified September 22 05:47 EDT 2019. Contains 327287 sequences. (Running on oeis4.)