A198557 Decimal expansion of x>0 having 4*x^2-x=4*sin(x).

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

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=1.069858480767565425542345626804118021627263...

Mathematica

a = 4; b = -1; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.1, 1.2}]
r = x /. FindRoot[f[x] == g[x], {x, 1, 1.1}, WorkingPrecision -> 110]
RealDigits[r] (* A198557 *)

Crossrefs

Cf. A198414.

Sequence in context: A266563 A335028 A153603 * A338699 A198214 A374643

Adjacent sequences: A198554 A198555 A198556 * A198558 A198559 A198560

Keyword

nonn,cons

Author

Clark Kimberling, Oct 26 2011

Status

approved