A198549 Decimal expansion of x>0 having 2*x^2-x=4*sin(x).

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

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=1.68184524494501231093262862021941994235640...

Mathematica

a = 2; b = -1; c = 4;
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, 1.68, 1.69}, WorkingPrecision -> 110]
RealDigits[r] (* A198549 *)

Crossrefs

Cf. A198414.

Sequence in context: A188340 A350582 A011006 * A019852 A326770 A143852

Adjacent sequences: A198546 A198547 A198548 * A198550 A198551 A198552

Keyword

nonn,cons

Author

Clark Kimberling, Oct 26 2011

Status

approved