A201746 Decimal expansion of the number x satisfying x^2+7=e^x.

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

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

x=2.634989915759347918394747743738596543736254...

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, 2.6, 2.7}, WorkingPrecision -> 110]
RealDigits[r]   (* A201746 *)

Crossrefs

Cf. A201741.

Sequence in context: A357735 A163892 A130108 * A362552 A353732 A026203

Adjacent sequences: A201743 A201744 A201745 * A201747 A201748 A201749

Keyword

nonn,cons

Author

Clark Kimberling, Dec 05 2011

Status

approved