A201762 Decimal expansion of the greatest x satisfying -x^2+7=e^x.

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

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:  -2.6321235606142229538753076713383129343383...
greatest:  1.53531760234376586202692372439720620861...

Mathematica

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 *)

Crossrefs

Cf. A201741.

Sequence in context: A333236 A270915 A319461 * A153386 A112920 A109364

Adjacent sequences: A201759 A201760 A201761 * A201763 A201764 A201765

Keyword

nonn,cons

Author

Clark Kimberling, Dec 05 2011

Status

approved