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 A197334 Decimal expansion of least x > 0 having cos(x) = cos(4*Pi*x)^2. 2
 2, 3, 6, 6, 5, 2, 1, 8, 6, 9, 3, 0, 3, 8, 8, 6, 0, 5, 2, 2, 1, 9, 2, 5, 4, 2, 2, 2, 0, 6, 5, 9, 8, 6, 0, 8, 3, 0, 7, 3, 3, 1, 1, 3, 0, 4, 1, 5, 5, 7, 1, 2, 4, 2, 7, 4, 7, 1, 0, 5, 2, 6, 5, 7, 4, 6, 3, 1, 3, 2, 7, 6, 9, 7, 0, 3, 3, 9, 9, 0, 0, 7, 6, 7, 0, 3, 1, 3, 1, 5, 9, 0, 2, 0, 5, 3, 0, 8, 2 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The Mathematica program includes a graph. See A197476 for a guide for the least x > 0 satisfying cos(b*x) = cos(c*x)^2 for selected b and c. LINKS Table of n, a(n) for n=0..98. EXAMPLE x=0.23665218693038860522192542220659860830733113... MATHEMATICA b = 1; c = 4 Pi; f[x_] := Cos[x] t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .235, .237}, WorkingPrecision -> 110] RealDigits[t] (* A197334 *) Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/8}] CROSSREFS Cf. A197476. Sequence in context: A246129 A359123 A124498 * A113399 A085273 A151850 Adjacent sequences: A197331 A197332 A197333 * A197335 A197336 A197337 KEYWORD nonn,cons AUTHOR Clark Kimberling, Oct 15 2011 STATUS approved

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Last modified February 26 04:47 EST 2024. Contains 370335 sequences. (Running on oeis4.)