A198497 Decimal expansion of x>0 having 2x^2+2x=sin(x).

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

Offset

0,1

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Example

x=0.449905865970465388554428764926217872288...

Mathematica

a = 2; b = 2; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1}]
r = x /. FindRoot[f[x] == g[x], {x, .4, .5}, WorkingPrecision -> 110]
RealDigits[r] (* A198497 *)

Crossrefs

Cf. A198414.

Sequence in context: A051668 A005441 A362294 * A231980 A175051 A011364

Adjacent sequences: A198494 A198495 A198496 * A198498 A198499 A198500

Keyword

nonn,cons

Author

Clark Kimberling, Oct 25 2011

Status

approved