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A198553
Decimal expansion of x>0 having 3*x^2-x=4*sin(x).
2
1, 3, 1, 4, 5, 1, 8, 9, 3, 5, 6, 6, 2, 9, 1, 3, 3, 7, 8, 5, 6, 2, 0, 3, 2, 7, 2, 2, 8, 9, 9, 0, 1, 3, 0, 4, 7, 0, 8, 6, 4, 8, 6, 6, 8, 7, 6, 7, 2, 6, 3, 8, 2, 3, 5, 9, 7, 7, 7, 0, 5, 1, 9, 4, 0, 4, 4, 7, 9, 7, 0, 5, 4, 6, 6, 8, 5, 4, 2, 3, 9, 8, 3, 0, 2, 8, 9, 9, 7, 5, 3, 0, 6, 2, 5, 5, 0, 2, 6
OFFSET
1,2
COMMENTS
See A198414 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.314518935662913378562032722899013047086486...
MATHEMATICA
a = 3; b = -1; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.1, 1.5}]
r = x /. FindRoot[f[x] == g[x], {x, 1.13, 1.14}, WorkingPrecision -> 110]
RealDigits[r] (* A198553 *)
CROSSREFS
Cf. A198414.
Sequence in context: A266101 A118469 A319649 * A324288 A302917 A069203
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 26 2011
STATUS
approved