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A198814
Decimal expansion of x>0 satisfying x^2+4*cos(x)=3.
2
1, 1, 1, 7, 8, 9, 0, 5, 8, 7, 7, 5, 6, 7, 5, 3, 7, 5, 9, 7, 9, 6, 8, 8, 7, 1, 6, 9, 5, 7, 9, 1, 6, 2, 9, 5, 6, 1, 8, 6, 1, 7, 5, 8, 7, 0, 3, 7, 5, 4, 0, 6, 9, 4, 6, 9, 4, 6, 7, 1, 9, 3, 0, 1, 4, 5, 1, 3, 9, 9, 2, 4, 3, 9, 1, 1, 8, 6, 3, 1, 6, 2, 9, 5, 3, 1, 4, 1, 9, 6, 9, 3, 8, 1, 0, 2, 5, 1, 5
OFFSET
1,4
COMMENTS
See A198755 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.117890587756753759796887169579162956186...
MATHEMATICA
a = 1; b = 4; c = 3;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]
RealDigits[r] (* A198814 *)
CROSSREFS
Cf. A198755.
Sequence in context: A377603 A333938 A268575 * A254272 A284363 A114514
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 30 2011
STATUS
approved