A104689 Decimal expansion of solution to exp(x) = e + x.

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

Offset

1,2

Comments

For the negative solution, see A202347.

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Example

x = 1.42037011802008345845842...

Mathematica

RealDigits[x/.FindRoot[E^x==E+x, {x, 1.4}, WorkingPrecision->120], 10, 120] [[1]] (* Harvey P. Dale, Aug 01 2011 *)
RealDigits[-E - LambertW[-1, -Exp[-E]], 10, 100][[1]] (* G. C. Greubel, Nov 09 2017 *)

Prog

(PARI) solve(x=0, 2, exp(x)-exp(1)-x) \\ Michel Marcus, Nov 09 2017

Crossrefs

Cf. A202320, A202347.

Sequence in context: A176066 A309987 A350358 * A182501 A048819 A076114

Adjacent sequences: A104686 A104687 A104688 * A104690 A104691 A104692

Keyword

cons,nonn

Author

Zak Seidov, Apr 23 2005

Status

approved