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 A197263 Decimal expansion of least x>0 having sin(3x)=(sin 5x)^2. 2
 1, 3, 6, 6, 5, 1, 1, 9, 2, 1, 7, 0, 5, 7, 2, 3, 9, 4, 9, 5, 6, 9, 7, 6, 0, 1, 7, 8, 8, 5, 9, 0, 5, 4, 6, 3, 2, 0, 0, 1, 1, 3, 9, 1, 7, 6, 8, 4, 9, 0, 6, 8, 5, 9, 4, 1, 9, 0, 6, 3, 5, 2, 4, 2, 8, 8, 8, 1, 0, 7, 0, 4, 0, 2, 7, 1, 2, 5, 0, 1, 5, 4, 4, 0, 3, 2, 2, 6, 1, 8, 6, 7, 9, 1, 7, 2, 3, 5, 5, 7, 9, 7, 8, 9, 8, 9, 5, 8, 8, 7, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 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 0.13665119217057239495697601788590546... MATHEMATICA b = 3; c = 5; f[x_] := Sin[x] t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .1, .3}, WorkingPrecision -> 100] RealDigits[t] (* A197263 *) Plot[{f[b*x], f[c*x]^2}, {x, 0, 1}] CROSSREFS Cf. A197133. Sequence in context: A247685 A185735 A339021 * A074785 A225462 A179949 Adjacent sequences:  A197260 A197261 A197262 * A197264 A197265 A197266 KEYWORD nonn,cons AUTHOR Clark Kimberling, Oct 12 2011 EXTENSIONS a(99) corrected and more terms from Georg Fischer, Jul 28 2021 STATUS approved

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Last modified September 26 23:42 EDT 2021. Contains 347673 sequences. (Running on oeis4.)