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A197694 Decimal expansion of pi/(4+pi). 2
4, 3, 9, 9, 0, 0, 8, 4, 6, 4, 8, 8, 4, 4, 2, 6, 2, 4, 0, 8, 9, 5, 2, 1, 3, 7, 4, 5, 1, 3, 7, 1, 3, 3, 8, 3, 7, 9, 9, 1, 8, 7, 4, 4, 3, 2, 3, 7, 6, 8, 9, 2, 4, 1, 2, 6, 5, 9, 4, 9, 8, 6, 8, 1, 2, 5, 8, 4, 0, 2, 1, 3, 0, 8, 3, 9, 0, 3, 0, 9, 7, 6, 8, 6, 8, 5, 0, 4, 5, 7, 9, 3, 6, 9, 2, 6, 3, 3, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

x=0.4399008464884426240895213745137133837991874432...

MATHEMATICA

b = 2; c = Pi/2;

t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .4, .45}]

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

RealDigits[%]  (* A197694 *)

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

Plot[{Sin[b*x], Cos[c*x]}, {x, 0, 1.1}]

CROSSREFS

Cf. A197682.

Sequence in context: A212001 A275473 A131805 * A187770 A103218 A319311

Adjacent sequences:  A197691 A197692 A197693 * A197695 A197696 A197697

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 17 2011

STATUS

approved

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Last modified October 23 01:24 EDT 2018. Contains 316518 sequences. (Running on oeis4.)