A199783 Decimal expansion of x>0 satisfying 3*x^2-4*x*cos(x)=-4*sin(x).

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

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.

Example

x=1.316188870773528486850010806899221145281001...

Mathematica

a = 3; b = -4; c = 4;
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, 1.31, 1.32}, WorkingPrecision -> 110]
RealDigits[r]     (* A199783 *)

Crossrefs

Cf. A199597.

Sequence in context: A168111 A309491 A109646 * A329645 A318772 A317496

Adjacent sequences: A199780 A199781 A199782 * A199784 A199785 A199786

Keyword

nonn,cons

Author

Clark Kimberling, Nov 10 2011

Status

approved