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A199080
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Decimal expansion of x<0 satisfying x^2+2*sin(x)=1.
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3
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1, 7, 2, 5, 1, 7, 1, 2, 0, 5, 4, 2, 8, 9, 3, 0, 1, 2, 7, 1, 3, 4, 4, 2, 4, 0, 0, 2, 0, 6, 3, 2, 3, 1, 6, 2, 3, 5, 0, 8, 1, 1, 9, 4, 2, 4, 8, 7, 6, 9, 8, 3, 8, 6, 0, 5, 5, 8, 4, 1, 7, 0, 8, 5, 7, 9, 5, 5, 2, 6, 1, 3, 8, 2, 7, 8, 3, 6, 5, 4, 5, 7, 7, 1, 1, 2, 5, 3, 1, 6, 2, 3, 6, 0, 1, 3, 6, 1, 2
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OFFSET
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1,2
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COMMENTS
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See A198866 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=1..99.
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EXAMPLE
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negative: -1.7251712054289301271344240020632...
positive: 0.42302818188516042885129332473260...
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MATHEMATICA
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a = 1; b = 2; c = 1;
f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1.8, -1.7}, WorkingPrecision -> 110]
RealDigits[r] (* A199080 *)
r = x /. FindRoot[f[x] == g[x], {x, .42, .43}, WorkingPrecision -> 110]
RealDigits[r] (* A199081 *)
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CROSSREFS
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Cf. A198866.
Sequence in context: A117237 A155697 A011477 * A093072 A066903 A194886
Adjacent sequences: A199077 A199078 A199079 * A199081 A199082 A199083
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Nov 02 2011
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STATUS
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approved
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