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A197683 Decimal expansion of Pi/(2+4*Pi). 2
2, 1, 5, 6, 7, 4, 3, 5, 9, 5, 7, 5, 3, 9, 6, 7, 5, 7, 2, 1, 3, 3, 9, 6, 9, 1, 8, 5, 7, 2, 8, 3, 7, 6, 6, 6, 1, 9, 8, 9, 7, 6, 6, 1, 7, 7, 9, 8, 5, 8, 6, 5, 7, 6, 3, 0, 3, 1, 5, 4, 0, 7, 1, 0, 4, 9, 8, 8, 1, 4, 5, 5, 8, 3, 8, 8, 6, 1, 5, 5, 3, 0, 3, 6, 6, 1, 0, 3, 5, 3, 7, 0, 1, 0, 9, 2, 9, 7, 4 (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 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=0.215674359575396757213396918572837666...

MATHEMATICA

b = 1; c = 2*Pi;

t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .2, .3}]

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

RealDigits[%]  (* A197683 *)

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

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

RealDigits[Pi/(2+4Pi), 10, 120][[1]] (* Harvey P. Dale, Oct 27 2016 *)

CROSSREFS

Cf. A197682.

Sequence in context: A160166 A349617 A349616 * A118737 A026214 A026221

Adjacent sequences:  A197680 A197681 A197682 * A197684 A197685 A197686

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 17 2011

STATUS

approved

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Last modified January 16 02:06 EST 2022. Contains 350374 sequences. (Running on oeis4.)