%I #10 Oct 01 2022 00:50:26

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

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

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

%N Decimal expansion of Pi/(6 + 4*Pi).

%C Least x > 0 such that sin(b*x) = cos(c*x) (and also sin(c*x) = cos(b*x)), where b=3 and c=2*Pi; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%e 0.169208765614109593810546901991407567005009...

%t b = 3; c = 2*Pi;

%t t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .15, .17}]

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

%t RealDigits[%] (* A197696 *)

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

%t Plot[{Sin[b*x], Cos[c*x]}, {x, 0, .3}]

%Y Cf. A197682.

%K nonn,cons

%O 0,2

%A _Clark Kimberling_, Oct 17 2011