A199504 Decimal expansion of x>0 satisfying 2*x^2-2*x*sin(x)=3*cos(x).

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

Offset

1,2

Comments

See A199429 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=1.286685644812683721546821396120267976910...

Mathematica

a = 2; b = -2; c = 3;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -2 Pi, 2 Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.28, 1.29}, WorkingPrecision -> 110]
RealDigits[r]  (* A199504 *)

Crossrefs

Cf. A199429.

Sequence in context: A239386 A011370 A021890 * A368645 A019914 A065473

Adjacent sequences: A199501 A199502 A199503 * A199505 A199506 A199507

Keyword

nonn,cons

Author

Clark Kimberling, Nov 07 2011

Status

approved