A199778 Decimal expansion of x>0 satisfying 2*x^2-3*x*cos(x)=3*sin(x).

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

Offset

1,2

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..99.

Index entries for transcendental numbers.

Example

1.370680972604893485791120806880290432983646027...

Mathematica

a = 2; b = -3; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.37, 1.38}, WorkingPrecision -> 110]
RealDigits[r]   (* A199778 *)

Crossrefs

Cf. A199597.

Sequence in context: A291835 A197835 A197005 * A369381 A086729 A332527

Adjacent sequences: A199775 A199776 A199777 * A199779 A199780 A199781

Keyword

nonn,cons,changed

Author

Clark Kimberling, Nov 10 2011

Status

approved