A197701 - OEIS

A197701

Decimal expansion of Pi/(1 + 4*Pi).

2, 3, 1, 5, 7, 2, 0, 7, 9, 4, 3, 7, 7, 0, 9, 7, 2, 1, 6, 0, 6, 2, 8, 9, 1, 1, 4, 5, 5, 1, 1, 3, 1, 2, 3, 0, 8, 9, 3, 0, 5, 4, 4, 3, 8, 1, 6, 8, 6, 5, 5, 2, 5, 2, 2, 8, 3, 8, 8, 4, 2, 4, 7, 9, 9, 2, 4, 0, 9, 7, 2, 9, 9, 7, 4, 0, 5, 9, 2, 3, 2, 7, 5, 6, 6, 1, 8, 4, 5, 6, 7, 2, 9, 1, 6, 5, 7, 3, 8

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OFFSET

0,1

COMMENTS

Least x > 0 such that sin(b*x) = cos(c*x) (and also sin(c*x) = cos(b*x)), where b=1/2 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.

Index entries for transcendental numbers

EXAMPLE

0.2315720794377097216062891145511312308...

MATHEMATICA

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

t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .23, .24}]

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

RealDigits[%] (* A197701 *)

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

Plot[{Sin[b*x], Cos[c*x]}, {x, 0, .8}]