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 A197261 Decimal expansion of least x>0 having sin(3x)=(sin 2x)^2. 2
 6, 5, 0, 2, 4, 0, 6, 1, 8, 2, 1, 7, 6, 1, 8, 1, 9, 2, 0, 9, 5, 5, 5, 5, 1, 7, 2, 7, 3, 4, 6, 7, 0, 5, 1, 4, 8, 8, 1, 6, 7, 2, 1, 1, 4, 3, 0, 9, 4, 0, 6, 0, 7, 6, 9, 4, 8, 4, 8, 6, 7, 4, 7, 8, 6, 7, 8, 6, 3, 3, 2, 9, 0, 5, 2, 3, 5, 6, 7, 7, 7, 5, 0, 5, 1, 8, 0, 1, 1, 8, 3, 8, 6, 6, 6, 8, 0, 2, 8, 1 (list; constant; graph; refs; listen; history; text; internal format)
 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. LINKS EXAMPLE x=0.650240618217618192095555172734670514... MATHEMATICA b = 3; c = 2; f[x_] := Sin[x] t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .5, .7}, WorkingPrecision -> 100] RealDigits[t] (* A197261 *) Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/2}] CROSSREFS Cf. A197133. Sequence in context: A214128 A166509 A200635 * A010773 A099288 A256717 Adjacent sequences:  A197258 A197259 A197260 * A197262 A197263 A197264 KEYWORD nonn,cons AUTHOR Clark Kimberling, Oct 12 2011 STATUS approved

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Last modified January 21 16:47 EST 2020. Contains 331114 sequences. (Running on oeis4.)