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A197492 Decimal expansion of least x>0 having cos(x)=(cos pi*x)^2. 2
8, 1, 1, 4, 9, 3, 3, 2, 1, 5, 0, 2, 4, 9, 6, 4, 3, 0, 2, 3, 2, 1, 6, 9, 5, 5, 4, 1, 1, 6, 6, 1, 3, 8, 1, 0, 6, 4, 0, 0, 1, 9, 8, 7, 8, 3, 2, 4, 0, 9, 3, 7, 5, 1, 0, 6, 4, 1, 4, 0, 8, 0, 6, 9, 3, 2, 9, 2, 5, 7, 1, 3, 8, 8, 9, 0, 4, 4, 0, 1, 6, 0, 0, 9, 7, 1, 1, 4, 4, 6, 6, 4, 0, 1, 1, 5, 2, 5, 8 (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=0.811493321502496430232169554116613810...

MATHEMATICA

b = 1; c = Pi; f[x_] := Cos[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .81, .82}, WorkingPrecision -> 110]

RealDigits[t] (* A197492 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/3}]

CROSSREFS

Cf. A197476.

Sequence in context: A154015 A300727 A246722 * A153621 A159822 A010151

Adjacent sequences:  A197489 A197490 A197491 * A197493 A197494 A197495

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 15 2011

STATUS

approved

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Last modified September 15 08:37 EDT 2019. Contains 327062 sequences. (Running on oeis4.)