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A198883
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Decimal expansion of x>0 satisfying 2*x^2-4*cos(x)=-3.
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2
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5, 0, 2, 6, 3, 0, 1, 8, 3, 5, 2, 3, 6, 8, 1, 8, 9, 7, 0, 4, 3, 8, 6, 9, 2, 1, 6, 0, 0, 9, 3, 5, 3, 8, 7, 5, 3, 1, 7, 9, 7, 6, 9, 8, 2, 3, 1, 6, 6, 8, 7, 8, 2, 3, 5, 4, 5, 9, 9, 1, 4, 4, 5, 8, 7, 2, 1, 4, 4, 5, 8, 9, 3, 0, 4, 1, 4, 0, 4, 8, 8, 4, 9, 3, 2, 8, 5, 4, 0, 0, 6, 8, 5, 9, 1, 2, 0, 2, 1
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OFFSET
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0,1
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COMMENTS
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See A198755 for a guide to related sequences. The Mathematica program includes a graph.
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LINKS
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Table of n, a(n) for n=0..98.
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EXAMPLE
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x=0.5026301835236818970438692160093538753179...
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MATHEMATICA
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a = 2; b = -4; c = -3;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .5, .51}, WorkingPrecision -> 110]
RealDigits[r] (* A198883 *)
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CROSSREFS
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Cf. A198755.
Sequence in context: A021203 A199387 A195720 * A077496 A190913 A019106
Adjacent sequences: A198880 A198881 A198882 * A198884 A198885 A198886
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Oct 31 2011
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STATUS
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approved
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