A199443 Decimal expansion of x>0 satisfying 2*x^2+3*x*sin(x)=cos(x).

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

Index entries for transcendental numbers.

Example

0.430307441921535297921645901904275904501378777...

Mathematica

a = 2; b = 3; c = 1;
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, .43, .44}, WorkingPrecision -> 110]
RealDigits[r] (* A199443 *)

Crossrefs

Cf. A199429.

Sequence in context: A296002 A393778 A227423 * A142723 A296228 A267410

Adjacent sequences: A199440 A199441 A199442 * A199444 A199445 A199446

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved