

A197493


Decimal expansion of least x>0 having cos(x)=(cos pi*x/2)^2.


2



1, 3, 2, 6, 9, 8, 0, 0, 9, 2, 1, 1, 3, 2, 7, 4, 6, 4, 1, 5, 7, 9, 6, 7, 2, 3, 3, 3, 8, 3, 0, 3, 8, 0, 4, 2, 6, 6, 4, 3, 0, 0, 6, 5, 5, 9, 2, 9, 1, 7, 3, 6, 1, 2, 0, 1, 8, 7, 8, 5, 5, 7, 7, 6, 3, 4, 2, 1, 8, 6, 5, 6, 9, 5, 8, 4, 3, 8, 9, 3, 8, 4, 7, 3, 2, 9, 4, 3, 5, 3, 6, 8, 0, 5, 2, 7, 7, 9, 0
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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=1.32698009211327464157967233383038042664300...


MATHEMATICA

b = 1; c = Pi/2; f[x_] := Cos[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.32, 1.33},
WorkingPrecision > 110]
RealDigits[t] (* A197493 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, 2}]


CROSSREFS

Cf. A197476.
Sequence in context: A210754 A210738 A210601 * A300070 A171632 A245609
Adjacent sequences: A197490 A197491 A197492 * A197494 A197495 A197496


KEYWORD

nonn,cons


AUTHOR

Clark Kimberling, Oct 15 2011


STATUS

approved



