A198420 Decimal expansion of x>0 having x^2-x=sin(x).

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

x=1.6175452860622547530274288138205252801...

Mathematica

a = 1; b = -1; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}]
r = x /. FindRoot[f[x] == g[x], {x, 1.6, 1.7}, WorkingPrecision -> 110]
RealDigits[r] (* A198420 *)

Crossrefs

Cf. A198414.

Sequence in context: A200307 A260632 A330062 * A110942 A274014 A334962

Adjacent sequences: A198417 A198418 A198419 * A198421 A198422 A198423

Keyword

nonn,cons

Author

Clark Kimberling, Oct 24 2011

Status

approved