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 A197256 Decimal expansion of least x>0 having sin(2x)=(sin 5x)^2. 2
 0, 8, 4, 5, 3, 5, 2, 3, 0, 6, 6, 9, 1, 6, 3, 4, 4, 0, 0, 2, 2, 7, 6, 5, 2, 4, 4, 7, 8, 1, 1, 1, 9, 7, 3, 5, 1, 3, 3, 4, 3, 7, 7, 5, 2, 5, 1, 2, 2, 3, 5, 4, 8, 7, 9, 0, 6, 9, 2, 3, 1, 8, 0, 2, 1, 9, 2, 6, 0, 4, 3, 6, 8, 0, 1, 1, 6, 0, 4, 0, 8, 8, 9, 2, 9, 1, 8, 5, 8, 2, 6, 6, 3, 9, 1, 9, 3, 3, 3, 6, 5 (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 x=0.08453523066916344002276524478111... MATHEMATICA b = 2; c = 5; f[x_] := Sin[x] t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .06, .09}, WorkingPrecision -> 100] RealDigits[t] (* A197256 *) Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/2}] CROSSREFS Cf. A197133. Sequence in context: A226581 A131271 A093821 * A328017 A195431 A273635 Adjacent sequences:  A197253 A197254 A197255 * A197257 A197258 A197259 KEYWORD nonn,cons AUTHOR Clark Kimberling, Oct 12 2011 STATUS approved

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Last modified February 25 10:41 EST 2020. Contains 332228 sequences. (Running on oeis4.)