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A197326 Decimal expansion of least x>0 having sin(x)=(sin pi*x/3)^2. 2
1, 3, 5, 1, 8, 8, 4, 1, 3, 6, 6, 5, 4, 4, 1, 9, 4, 8, 9, 6, 3, 0, 7, 9, 8, 1, 1, 0, 4, 6, 7, 8, 8, 0, 1, 8, 2, 3, 8, 0, 2, 9, 3, 1, 8, 0, 6, 2, 2, 4, 9, 8, 5, 0, 7, 9, 8, 8, 6, 6, 4, 0, 8, 9, 0, 2, 6, 7, 2, 7, 7, 3, 7, 8, 2, 7, 1, 6, 0, 2, 2, 4, 8, 4, 2, 3, 9, 9, 1, 9, 1, 9, 9, 7, 4, 8, 6, 8, 8 (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=1.351884136654419489630798110...

MATHEMATICA

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

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.3, 1.4}, WorkingPrecision -> 200]

RealDigits[t] (* A197326 *)

Plot[{f[b*x], f[c*x]^2}, {x, 1.3, 1.55}]

CROSSREFS

Cf. A197133.

Sequence in context: A242390 A065395 A236631 * A235605 A212695 A209422

Adjacent sequences:  A197323 A197324 A197325 * A197327 A197328 A197329

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 13 2011

STATUS

approved

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Last modified July 24 21:14 EDT 2014. Contains 244897 sequences.