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A197726 Decimal expansion of pi/(1+pi). 4
7, 5, 8, 5, 4, 6, 9, 9, 2, 9, 9, 4, 7, 7, 6, 1, 4, 5, 3, 4, 4, 4, 3, 0, 6, 8, 9, 0, 4, 4, 8, 9, 2, 8, 6, 4, 1, 3, 8, 4, 2, 6, 3, 6, 5, 6, 4, 0, 5, 3, 0, 9, 9, 6, 6, 6, 8, 9, 8, 8, 2, 1, 3, 7, 8, 2, 5, 4, 8, 1, 3, 7, 1, 0, 0, 9, 5, 7, 3, 7, 6, 3, 2, 0, 6, 3, 3, 1, 7, 4, 0, 1, 5, 3, 5, 5, 7, 7, 2 (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=1/2 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=0.7585469929947761453444306890448928641384...

MATHEMATICA

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

t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .75, .76}]

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

RealDigits[%]  (* A197726 *)

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

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

CROSSREFS

Cf. A197682.

Sequence in context: A280722 A262899 A198922 * A153623 A242623 A081815

Adjacent sequences:  A197723 A197724 A197725 * A197727 A197728 A197729

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 17 2011

STATUS

approved

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Last modified August 26 03:21 EDT 2019. Contains 326324 sequences. (Running on oeis4.)