A199437 Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=3*cos(x).

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

Offset

0,1

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Example

x=0.763575447308377054779338907559284434105190362...

Mathematica

a = 1; b = 3; c = 3;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .76, .77}, WorkingPrecision -> 110]
RealDigits[r]  (* A199437 *)

Crossrefs

Cf. A199429.

Sequence in context: A225450 A238239 A371934 * A021571 A013675 A198878

Adjacent sequences: A199434 A199435 A199436 * A199438 A199439 A199440

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved