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A201762
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Decimal expansion of the greatest x satisfying -x^2+7=e^x.
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3
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1, 5, 3, 5, 3, 1, 7, 6, 0, 2, 3, 4, 3, 7, 6, 5, 8, 6, 2, 0, 2, 6, 9, 2, 3, 7, 2, 4, 3, 9, 7, 2, 0, 6, 2, 0, 8, 6, 1, 2, 5, 4, 7, 9, 0, 6, 2, 8, 6, 4, 0, 2, 5, 4, 1, 5, 9, 2, 1, 2, 9, 5, 3, 6, 3, 0, 4, 2, 8, 4, 8, 3, 4, 9, 4, 2, 2, 2, 5, 2, 8, 8, 1, 2, 4, 3, 4, 1, 3, 6, 5, 4, 7, 9, 0, 2, 9, 3, 0
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OFFSET
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1,2
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COMMENTS
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See A201741 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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least: -2.6321235606142229538753076713383129343383...
greatest: 1.53531760234376586202692372439720620861...
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MATHEMATICA
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a = -1; b = 0; c = 7;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -2.7, -2.6}, WorkingPrecision -> 110]
RealDigits[r] (* A201761 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.6}, WorkingPrecision -> 110]
RealDigits[r] (* A201762 *)
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CROSSREFS
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Cf. A201741.
Sequence in context: A071050 A176036 A194624 * A153386 A112920 A109364
Adjacent sequences: A201759 A201760 A201761 * A201763 A201764 A201765
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Dec 05 2011
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STATUS
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approved
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