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A198557
Decimal expansion of x>0 having 4*x^2-x=4*sin(x).
2
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.
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
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 26 2011
STATUS
approved