A198503 Decimal expansion of x>0 having 4*x^2=sin(x).

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

Offset

0,1

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Example

x=0.2474563567703898727303287763379937252...

Mathematica

a = 4; b = 0; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, .4}]
r = x /. FindRoot[f[x] == g[x], {x, .24, .25}, WorkingPrecision -> 110]
RealDigits[r] (* A198503 *)

Crossrefs

Cf. A198414.

Sequence in context: A239324 A373166 A114375 * A129200 A074958 A222407

Adjacent sequences: A198500 A198501 A198502 * A198504 A198505 A198506

Keyword

nonn,cons

Author

Clark Kimberling, Oct 25 2011

Status

approved