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A201759
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Decimal expansion of the least x satisfying -x^2+6=e^x.
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3
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2, 4, 3, 1, 4, 7, 9, 6, 5, 9, 7, 2, 3, 0, 3, 6, 0, 3, 9, 7, 3, 6, 5, 3, 9, 0, 1, 4, 0, 8, 3, 4, 1, 5, 0, 8, 2, 9, 7, 7, 3, 1, 3, 9, 5, 9, 0, 5, 2, 2, 4, 2, 9, 2, 8, 2, 7, 6, 1, 3, 7, 9, 7, 2, 4, 5, 3, 9, 7, 8, 0, 9, 6, 9, 6, 7, 1, 1, 7, 9, 7, 8, 4, 1, 9, 5, 9, 5, 3, 3, 0, 6, 6, 1, 2, 8, 6, 7, 1
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OFFSET
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1,1
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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: -2.431479659723036039736539014083415082...
greatest: 1.3977805354241768741646854746062333...
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MATHEMATICA
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a = -1; b = 0; c = 6;
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, -2.5, -2.4}, WorkingPrecision -> 110]
RealDigits[r] (* A201759 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r] (* A201760 *)
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CROSSREFS
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Cf. A201741.
Sequence in context: A125941 A071284 A104753 * A011170 A109158 A049245
Adjacent sequences: A201756 A201757 A201758 * A201760 A201761 A201762
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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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