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A197693 Decimal expansion of (Pi^2)/(4+4*Pi). 2
5, 9, 5, 7, 6, 1, 4, 1, 5, 1, 4, 8, 7, 5, 4, 2, 7, 3, 2, 7, 9, 5, 5, 3, 1, 7, 3, 5, 5, 8, 6, 5, 2, 5, 0, 5, 0, 1, 4, 6, 8, 5, 7, 5, 8, 4, 3, 3, 6, 4, 3, 7, 0, 6, 0, 7, 6, 4, 8, 9, 0, 9, 4, 6, 3, 1, 3, 1, 7, 0, 6, 7, 2, 9, 6, 3, 1, 2, 9, 0, 5, 5, 7, 6, 8, 5, 0, 4, 1, 2, 8, 3, 1, 6, 9, 0, 3, 2, 3 (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=2/pi; 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=0.59576141514875427327955317355865250501468575843...

MATHEMATICA

b = 2; c = 2/Pi;

t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .5, .6}]

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

RealDigits[%]  (* A197693 *)

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

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

CROSSREFS

Cf. A197682.

Sequence in context: A275810 A302708 A108781 * A117014 A200283 A010720

Adjacent sequences:  A197690 A197691 A197692 * A197694 A197695 A197696

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 17 2011

STATUS

approved

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Last modified June 20 06:23 EDT 2021. Contains 345157 sequences. (Running on oeis4.)