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A199955
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Decimal expansion of least x satisfying x^2+2*cos(x)=3*sin(x).
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3
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7, 4, 0, 8, 0, 3, 3, 6, 8, 1, 9, 4, 1, 3, 2, 2, 3, 7, 5, 9, 6, 4, 2, 6, 9, 2, 4, 5, 4, 7, 0, 2, 1, 6, 2, 0, 9, 1, 7, 4, 2, 2, 2, 8, 9, 0, 7, 8, 0, 2, 3, 4, 5, 7, 2, 1, 8, 9, 5, 4, 4, 9, 0, 1, 2, 0, 5, 4, 3, 8, 4, 6, 0, 9, 7, 7, 9, 3, 0, 5, 3, 8, 2, 4, 5, 9, 1, 8, 8, 0, 7, 9, 2, 0, 2, 3, 7, 7, 4
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OFFSET
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0,1
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COMMENTS
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See A199949 for a guide to related sequences. The Mathematica program includes a graph.
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 0..10000
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EXAMPLE
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least x: 0.74080336819413223759642692454702162091742...
greatest x: 1.854778410356751774141939581736998761204...
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MATHEMATICA
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a = 1; b = 2; c = 3;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .74, .75}, WorkingPrecision -> 110]
RealDigits[r] (* A199955 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.8, 1.9}, WorkingPrecision -> 110]
RealDigits[r] (* A199956 *)
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PROG
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(PARI) a=1; b=2; c=3; solve(x=1, 2, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 22 2018
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CROSSREFS
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Cf. A199949.
Sequence in context: A091494 A021139 A020790 * A196624 A157413 A258500
Adjacent sequences: A199952 A199953 A199954 * A199956 A199957 A199958
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Nov 12 2011
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STATUS
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approved
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