A197686 Decimal expansion of Pi/(2 + Pi).

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

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 and c=Pi/2; 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

0.611015470351657289380595387953968861737422632...

Mathematica

b = 1; c = Pi/2;
t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .6, .7}]
N[Pi/(2*b + 2*c), 110]
RealDigits[%]  (* A197686 *)
Simplify[Pi/(2*b + 2*c)]
Plot[{Sin[b*x], Cos[c*x]}, {x, 0, 1}]

Crossrefs

Cf. A197682.

Sequence in context: A119832 A166141 A087253 * A331277 A369458 A257936

Adjacent sequences: A197683 A197684 A197685 * A197687 A197688 A197689

Keyword

nonn,cons

Author

Clark Kimberling, Oct 17 2011

Status

approved