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 A197291 Decimal expansion of least x>0 having sin(6x)=(sin(2x))^2. 1
 4, 2, 4, 0, 3, 1, 0, 3, 9, 4, 9, 0, 7, 4, 0, 5, 0, 4, 0, 2, 6, 4, 7, 2, 1, 6, 9, 4, 9, 9, 2, 0, 9, 0, 4, 0, 0, 3, 6, 6, 8, 3, 1, 0, 6, 6, 3, 1, 5, 5, 6, 3, 2, 1, 4, 3, 0, 3, 5, 9, 0, 8, 1, 7, 8, 5, 1, 0, 0, 4, 1, 0, 6, 1, 4, 2, 3, 7, 1, 1, 7, 1, 7, 4, 5, 9, 4, 9, 0, 0, 8, 6, 5, 9, 7, 8, 6, 1, 5, 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=0.4240310394907405040264721694992090400... MATHEMATICA b = 6; c = 2; f[x_] := Sin[x] t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .4, .6}, WorkingPrecision -> 100] RealDigits[t] (* A197291 *) Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/2}] RealDigits[ ArcTan[ (4-Sqrt[7])/3 ], 10, 100] // First (* Jean-François Alcover, Feb 27 2013 *) CROSSREFS Cf. A197133. Sequence in context: A166198 A248252 A117238 * A112983 A068454 A090976 Adjacent sequences:  A197288 A197289 A197290 * A197292 A197293 A197294 KEYWORD nonn,cons AUTHOR Clark Kimberling, Oct 13 2011 STATUS approved

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Last modified August 21 05:32 EDT 2019. Contains 326162 sequences. (Running on oeis4.)