A198552 Decimal expansion of x>0 having 3*x^2-x=3*sin(x).

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

Offset

1,3

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=1.1327784166780435512983725437241083850697730022...

Mathematica

a = 3; b = -1; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.1, 1.5}]
r = x /. FindRoot[f[x] == g[x], {x, 1.13, 1.14}, WorkingPrecision -> 110]
RealDigits[r] (* A198552 *)

Crossrefs

Cf. A198414.

Sequence in context: A016603 A199183 A178908 * A120633 A095353 A324876

Adjacent sequences: A198549 A198550 A198551 * A198553 A198554 A198555

Keyword

nonn,cons

Author

Clark Kimberling, Oct 26 2011

Status

approved