[go: up one dir, main page]

login
A198502
Decimal expansion of x>0 having 3*x^2=2*sin(x).
2
6, 2, 4, 2, 0, 9, 2, 8, 7, 0, 4, 8, 3, 2, 7, 5, 5, 8, 0, 0, 5, 9, 4, 1, 4, 5, 0, 4, 3, 9, 2, 0, 0, 8, 2, 8, 5, 7, 6, 6, 9, 3, 7, 0, 8, 3, 5, 4, 9, 8, 5, 7, 4, 5, 3, 2, 6, 6, 4, 6, 6, 2, 5, 1, 6, 3, 1, 3, 3, 3, 7, 2, 1, 0, 9, 4, 2, 8, 2, 2, 0, 8, 9, 1, 4, 0, 5, 8, 5, 0, 7, 6, 3, 7, 7, 5, 8, 9, 1
OFFSET
0,1
COMMENTS
See A198414 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.624209287048327558005941450439200...
.
cons
MATHEMATICA
a = 3; b = 0; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 1}]
r = x /. FindRoot[f[x] == g[x], {x, .62, .63}, WorkingPrecision -> 110]
RealDigits[r] (* A198502 *)
CROSSREFS
Sequence in context: A239578 A248273 A176396 * A244858 A354782 A064925
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 25 2011
STATUS
approved