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A198996
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Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=1.
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2
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8, 5, 9, 8, 8, 1, 1, 7, 5, 2, 3, 2, 0, 2, 6, 4, 4, 9, 5, 7, 8, 0, 4, 6, 0, 5, 2, 6, 3, 6, 4, 2, 8, 3, 4, 2, 2, 1, 5, 5, 5, 9, 0, 9, 1, 0, 5, 3, 6, 9, 7, 1, 3, 2, 9, 2, 3, 5, 9, 7, 3, 9, 4, 9, 5, 1, 6, 3, 6, 5, 7, 4, 4, 5, 9, 1, 7, 1, 5, 4, 0, 9, 1, 1, 7, 9, 5, 3, 2, 8, 5, 8, 5, 3, 5, 4, 7, 3, 9
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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=0.85988117523202644957804605263642834221555...
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MATHEMATICA
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a = 4; b = -3; c = 1;
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, .85, .86}, WorkingPrecision -> 110]
RealDigits[r] (* A198996 *)
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CROSSREFS
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Cf. A198755.
Sequence in context: A200487 A070473 A154210 * A087462 A168204 A193681
Adjacent sequences: A198993 A198994 A198995 * A198997 A198998 A198999
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Nov 01 2011
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STATUS
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approved
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