A201763 Decimal expansion of the least x satisfying -x^2+8=e^x.

2, 8, 1, 7, 8, 4, 7, 6, 9, 4, 4, 1, 6, 5, 7, 3, 6, 8, 9, 3, 7, 7, 2, 7, 4, 0, 9, 6, 5, 0, 4, 0, 6, 4, 1, 2, 8, 2, 2, 8, 3, 8, 6, 2, 2, 3, 4, 1, 7, 1, 6, 8, 5, 3, 9, 0, 6, 1, 7, 6, 2, 5, 2, 5, 8, 9, 3, 5, 4, 6, 5, 2, 8, 5, 9, 3, 6, 1, 8, 9, 9, 3, 3, 0, 9, 8, 4, 5, 7, 4, 8, 7, 6, 0, 5, 6, 4, 5, 4

Offset

1,1

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: A109171 A153805 A011056 * A254277 A244688 A086037

Adjacent sequences: A201760 A201761 A201762 * A201764 A201765 A201766

Keyword

nonn,cons

Author

Clark Kimberling, Dec 05 2011

Status

approved