A199513 Decimal expansion of x>0 satisfying 3*x^2-3*x*sin(x)=2*cos(x).

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

Offset

1,3

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=1.14967454409407837060286558757515943034710...

Mathematica

a = 3; b = -3; c = 2;
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, 1.14, 1.15}, WorkingPrecision -> 110]
RealDigits[r]  (* A199513 *)

Crossrefs

Cf. A199429.

Sequence in context: A248866 A168608 A200383 * A360004 A236022 A075635

Adjacent sequences: A199510 A199511 A199512 * A199514 A199515 A199516

Keyword

nonn,cons

Author

Clark Kimberling, Nov 07 2011

Status

approved