A197691 Decimal expansion of Pi/(4 + 4*Pi).

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

Offset

0,2

Comments

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

Index entries for transcendental numbers

Example

0.1896367482486940363361076722612232160346065914...

Mathematica

b = 2; c = 2 Pi;
t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .1, .2}]
N[Pi/(2*b + 2*c), 110]
RealDigits[%]  (* A197691 *)
Simplify[Pi/(2*b + 2*c)]
Plot[{Sin[b*x], Cos[c*x]}, {x, 0, Pi/2}]

Crossrefs

Cf. A197682.

Sequence in context: A154208 A154491 A195304 * A342948 A258104 A253299

Adjacent sequences: A197688 A197689 A197690 * A197692 A197693 A197694

Keyword

nonn,cons

Author

Clark Kimberling, Oct 17 2011

Status

approved