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A197729 Decimal expansion of 3*Pi/(2 + Pi). 2
1, 8, 3, 3, 0, 4, 6, 4, 1, 1, 0, 5, 4, 9, 7, 1, 8, 6, 8, 1, 4, 1, 7, 8, 6, 1, 6, 3, 8, 6, 1, 9, 0, 6, 5, 8, 5, 2, 1, 2, 2, 6, 7, 8, 9, 8, 8, 6, 8, 2, 7, 8, 3, 8, 5, 6, 2, 6, 7, 5, 0, 3, 2, 5, 1, 2, 7, 3, 9, 4, 5, 0, 1, 8, 0, 8, 9, 4, 7, 5, 1, 5, 9, 7, 2, 1, 1, 4, 1, 5, 0, 3, 7, 0, 0, 2, 2, 9, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Least x > 0 such that sin(b*x) = cos(c*x) (and also sin(c*x) = cos(b*x)), where b=1/3 and c=Pi/6; 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=1..99.

EXAMPLE

x=1.8330464110549718681417861638619065852122678...

MATHEMATICA

b = 1/3; c = Pi/6;

t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, 1.83, 1.84}]

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

RealDigits[%]  (* A197729 *)

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

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

RealDigits[3*Pi/(2+Pi), 10, 120][[1]] (* Harvey P. Dale, Jun 27 2015 *)

CROSSREFS

Cf. A197682.

Sequence in context: A154158 A100863 A021986 * A010148 A246822 A168356

Adjacent sequences:  A197726 A197727 A197728 * A197730 A197731 A197732

KEYWORD

nonn,cons,changed

AUTHOR

Clark Kimberling, Oct 17 2011

STATUS

approved

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Last modified April 21 15:55 EDT 2021. Contains 343156 sequences. (Running on oeis4.)