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A197686
Decimal expansion of Pi/(2 + Pi).
3
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.
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
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 17 2011
STATUS
approved