A199623 Decimal expansion of x>0 satisfying 2*x^2+x*cos(x)=3*sin(x).

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

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..98.

Example

x=0.9922917949161176981841193385017574750...

Mathematica

a = 2; b = 1; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .99, 1}, WorkingPrecision -> 110]
RealDigits[r]  (* A199623 *)

Crossrefs

Cf. A199597.

Sequence in context: A243264 A133250 A344727 * A255169 A019892 A275710

Adjacent sequences: A199620 A199621 A199622 * A199624 A199625 A199626

Keyword

nonn,cons

Author

Clark Kimberling, Nov 08 2011

Status

approved