A199789 Decimal expansion of x > 0 satisfying 3*x^2 - 3*x*cos(x) = sin(x).

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..100.

Example

x=0.90624769163564407991862363102964674142519277480...

Mathematica

a = 3; b = -3; c = 1;
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, .90, .91}, WorkingPrecision -> 110]
RealDigits[r]     (* A199789 *)

Crossrefs

Cf. A199597.

Sequence in context: A019740 A372270 A188738 * A019874 A197520 A068467

Adjacent sequences: A199786 A199787 A199788 * A199790 A199791 A199792

Keyword

nonn,cons

Author

Clark Kimberling, Nov 10 2011

Extensions

a(98) corrected by Georg Fischer, Aug 03 2021

Status

approved