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A197495 Decimal expansion of least x>0 having cos(x)=(cos pi*x/4)^2. 2
1, 2, 7, 8, 3, 9, 8, 3, 8, 5, 6, 7, 4, 4, 4, 9, 6, 8, 0, 8, 8, 7, 2, 9, 5, 7, 3, 2, 3, 0, 6, 8, 3, 6, 5, 7, 6, 6, 6, 8, 6, 4, 4, 2, 3, 6, 3, 9, 9, 7, 2, 8, 3, 4, 7, 5, 1, 2, 7, 9, 7, 8, 0, 9, 3, 3, 7, 8, 0, 5, 1, 8, 8, 6, 9, 9, 2, 4, 1, 1, 7, 0, 9, 4, 4, 9, 7, 8, 0, 2, 3, 2, 1, 9, 3, 7, 1, 7, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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=1..99.

EXAMPLE

x=1.2783983856744496808872957323068365766686442...

MATHEMATICA

b = 1; c = Pi/4; f[x_] := Cos[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.27, 1.29},

   WorkingPrecision -> 110]

RealDigits[t] (* A197495 *)

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

CROSSREFS

Cf. A197476.

Sequence in context: A198815 A011053 A094216 * A102098 A316252 A202355

Adjacent sequences:  A197492 A197493 A197494 * A197496 A197497 A197498

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 15 2011

STATUS

approved

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Last modified October 22 04:04 EDT 2018. Contains 316431 sequences. (Running on oeis4.)