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 A197383 Decimal expansion of least x>0 having sin(pi*x/6)=(sin pi*x/3)^2. 3
 5, 2, 1, 3, 3, 7, 8, 2, 9, 5, 7, 1, 7, 1, 5, 6, 9, 8, 6, 9, 1, 9, 8, 8, 5, 6, 4, 4, 5, 4, 9, 1, 7, 9, 7, 7, 3, 0, 9, 1, 8, 1, 3, 9, 4, 7, 3, 3, 6, 8, 8, 7, 1, 9, 5, 4, 9, 1, 8, 4, 8, 6, 2, 5, 1, 5, 5, 9, 0, 6, 0, 9, 6, 1, 0, 2, 5, 9, 8, 8, 8, 9, 7, 4, 9, 7, 5, 6, 9, 0, 0, 3, 9, 4, 9, 7, 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=0.5213378295717156986919885644549179773091813947336... MATHEMATICA b = Pi/6; c = Pi/3; f[x_] := Sin[x] t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .4, .6}, WorkingPrecision -> 200] RealDigits[t] (* A197383 *) Plot[{f[b*x], f[c*x]^2}, {x, 0, 2.2}] RealDigits[ (6*ArcSec[ Root[ 16 - 16#^2 + #^6 & , 3]])/Pi, 10, 99] // First (* Jean-François Alcover, Feb 19 2013 *) CROSSREFS Cf. A197133, A197521. Sequence in context: A158625 A133615 A136161 * A266455 A091505 A030357 Adjacent sequences:  A197380 A197381 A197382 * A197384 A197385 A197386 KEYWORD nonn,cons AUTHOR Clark Kimberling, Oct 14 2011 STATUS approved

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Last modified October 14 02:19 EDT 2019. Contains 327994 sequences. (Running on oeis4.)