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A197288
Decimal expansion of least x>0 having sin(5x)=(sin 7x)^2.
1
2, 5, 4, 5, 9, 6, 5, 2, 2, 5, 2, 8, 1, 5, 6, 4, 7, 3, 1, 2, 9, 5, 9, 7, 0, 4, 6, 5, 7, 5, 6, 9, 7, 9, 9, 7, 2, 8, 4, 1, 2, 5, 9, 9, 9, 0, 1, 6, 4, 1, 6, 9, 9, 1, 7, 3, 3, 9, 5, 8, 9, 7, 2, 6, 5, 1, 2, 5, 7, 5, 8, 8, 4, 2, 2, 3, 5, 0, 9, 9, 6, 0, 2, 1, 1, 2, 9, 9, 7, 9, 6, 3, 6, 9, 7, 4, 2, 3, 6, 7, 5, 5
OFFSET
0,1
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.
EXAMPLE
x=0.254596522528156473129597046575697997...
MATHEMATICA
b = 5; c = 7; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .2, .4}, WorkingPrecision -> 100]
RealDigits[t] (* A197288 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/4}]
CROSSREFS
Cf. A197133.
Sequence in context: A011036 A086267 A348027 * A053424 A184617 A290886
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 13 2011
STATUS
approved