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A201764 Decimal expansion of the greatest x satisfying -x^2+8=e^x. 3
1, 6, 5, 8, 2, 6, 0, 7, 2, 0, 4, 5, 2, 4, 9, 8, 8, 7, 8, 7, 9, 6, 3, 8, 4, 3, 7, 9, 6, 4, 6, 4, 5, 2, 5, 6, 4, 3, 4, 8, 2, 8, 5, 7, 0, 8, 4, 4, 4, 2, 2, 7, 3, 0, 9, 1, 1, 5, 4, 0, 2, 8, 3, 5, 2, 2, 7, 6, 1, 8, 9, 0, 1, 2, 8, 8, 9, 4, 1, 0, 6, 5, 4, 4, 8, 8, 5, 6, 1, 7, 1, 8, 5, 8, 5, 8, 5, 7, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A201741 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

least:  -2.8178476944165736893772740965040641282283...

greatest:  1.65826072045249887879638437964645256434...

MATHEMATICA

a = -1; b = 0; c = 8;

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, -2.8, -2.9}, WorkingPrecision -> 110]

RealDigits[r]     (* A201763 *)

r = x /. FindRoot[f[x] == g[x], {x, 1.6, 1.7}, WorkingPrecision -> 110]

RealDigits[r]    (* A201764 *)

CROSSREFS

Cf. A201741.

Sequence in context: A093457 A195446 A262993 * A147313 A242759 A021607

Adjacent sequences:  A201761 A201762 A201763 * A201765 A201766 A201767

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 05 2011

STATUS

approved

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Last modified April 9 21:53 EDT 2020. Contains 333368 sequences. (Running on oeis4.)