

A197327


Decimal expansion of least x > 0 having sin(x) = sin(Pi*x/4)^2.


2



1, 7, 9, 6, 4, 2, 6, 1, 6, 0, 2, 6, 2, 7, 7, 8, 6, 5, 5, 3, 0, 3, 2, 2, 3, 6, 0, 5, 7, 6, 2, 6, 7, 6, 3, 0, 9, 7, 4, 4, 2, 9, 6, 2, 4, 6, 0, 4, 8, 0, 9, 2, 4, 6, 0, 6, 7, 1, 0, 6, 3, 7, 4, 8, 2, 6, 0, 1, 6, 7, 1, 1, 3, 9, 5, 4, 4, 0, 2, 8, 6, 8, 5, 5, 3, 2, 5, 4, 8, 4, 3, 8, 1, 7, 3, 1, 6, 0, 4
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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



EXAMPLE

x=1.79642616026277865530322360576267630...


MATHEMATICA

b = 1; c = Pi/4; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.5, 2}, WorkingPrecision > 200]
Plot[{f[b*x], f[c*x]^2}, {x, 0, 2}]


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



