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 A197571 Decimal expansion of least x > 0 having cos(x) = cos(3*Pi*x)^2. 2
 2, 7, 5, 1, 5, 5, 8, 5, 5, 0, 7, 9, 9, 8, 7, 5, 1, 3, 7, 7, 0, 9, 8, 5, 8, 2, 0, 9, 0, 2, 1, 3, 7, 9, 7, 2, 2, 0, 8, 2, 9, 6, 6, 3, 1, 4, 4, 8, 2, 5, 9, 1, 7, 9, 4, 0, 3, 3, 8, 1, 4, 8, 3, 7, 7, 4, 2, 8, 3, 1, 1, 3, 6, 0, 2, 5, 8, 1, 1, 1, 1, 1, 6, 0, 0, 0, 7, 8, 3, 7, 4, 1, 4, 9, 6, 5, 4, 9, 3 (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=0.275155855079987513770985820902137972... MATHEMATICA b = 1; c = 3*Pi; f[x_] := Sin[x] t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .27, .28}, WorkingPrecision -> 200] RealDigits[t] (* A197571 *) Plot[{f[b*x], f[c*x]^2}, {x, 0, .5}] CROSSREFS Cf. A197133. Sequence in context: A244678 A201319 A110945 * A178422 A372773 A296564 Adjacent sequences: A197568 A197569 A197570 * A197572 A197573 A197574 KEYWORD nonn,cons AUTHOR Clark Kimberling, Oct 16 2011 STATUS approved

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Last modified September 12 20:35 EDT 2024. Contains 375854 sequences. (Running on oeis4.)