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A197727 Decimal expansion of 2*Pi/(2+Pi). 2
1, 2, 2, 2, 0, 3, 0, 9, 4, 0, 7, 0, 3, 3, 1, 4, 5, 7, 8, 7, 6, 1, 1, 9, 0, 7, 7, 5, 9, 0, 7, 9, 3, 7, 7, 2, 3, 4, 7, 4, 8, 4, 5, 2, 6, 5, 9, 1, 2, 1, 8, 5, 5, 9, 0, 4, 1, 7, 8, 3, 3, 5, 5, 0, 0, 8, 4, 9, 2, 9, 6, 6, 7, 8, 7, 2, 6, 3, 1, 6, 7, 7, 3, 1, 4, 7, 4, 2, 7, 6, 6, 9, 1, 3, 3, 4, 8, 6, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Least x>0 such that sin(bx)=cos(cx) (and also sin(cx)=cos(bx)), where b=1/2 and c=Pi/4; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences.

One-half of the harmonic mean of 2 and Pi. - Wesley Ivan Hurt, Sep 02 2014

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

x=1.22203094070331457876119077590793772347484...

MAPLE

Digits:=100: evalf(2*Pi/(2+Pi)); # Wesley Ivan Hurt, Sep 02 2014

MATHEMATICA

b = 1/2; c = Pi/4;

t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, 1.22, 1.23}]

N[Pi/(2*b + 2*c), 110]

RealDigits[%]  (* A197727 *)

Simplify[Pi/(2*b + 2*c)]

Plot[{Sin[b*x], Cos[c*x]}, {x, 0, 2}]

CROSSREFS

Cf. A197682.

Sequence in context: A059288 A217670 A243310 * A176884 A071443 A013586

Adjacent sequences:  A197724 A197725 A197726 * A197728 A197729 A197730

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 17 2011

STATUS

approved

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Last modified February 24 11:39 EST 2018. Contains 299603 sequences. (Running on oeis4.)