A198575 Decimal expansion of x>0 satisfying 4*x^2-3x=3*sin(x).

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

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=1.304631710394787379587467065232993969376072...

Mathematica

a = 4; b = -3; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 1.5}]
r = x /. FindRoot[f[x] == g[x], {x, 1.30, 1.31}, WorkingPrecision -> 110]
RealDigits[r] (* A198575 *)

Crossrefs

Cf. A198414.

Sequence in context: A126826 A231983 A231982 * A112256 A188720 A113792

Adjacent sequences: A198572 A198573 A198574 * A198576 A198577 A198578

Keyword

nonn,cons

Author

Clark Kimberling, Oct 27 2011

Status

approved