A198426 Decimal expansion of x>0 having x^2+2x=4*sin(x).

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

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=1.1605918671900541573133082504330553363179713...

Mathematica

a = 1; b = 2; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 2}]
r = x /. FindRoot[f[x] == g[x], {x, 1.16, 1.17}, WorkingPrecision -> 110]
RealDigits[r] (* A198426 *)

Crossrefs

Cf. A198414.

Sequence in context: A196625 A343948 A195368 * A335614 A019110 A280508

Adjacent sequences: A198423 A198424 A198425 * A198427 A198428 A198429

Keyword

nonn,cons

Author

Clark Kimberling, Oct 25 2011

Status

approved