A196518 Decimal expansion of the number x satisfying x*e^x = 5.

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

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..5000

Index entries for transcendental numbers

Example

1.32672466524220022363509929775807966012...

Mathematica

Plot[{E^x, 5/x}, {x, 0, 2}]
t = x /. FindRoot[E^x == 5/x, {x, 0.5, 2}, WorkingPrecision -> 100]
RealDigits[t]  (* A196518 *)
RealDigits[LambertW[5], 10, 50][[1]] (* G. C. Greubel, Nov 16 2017 *)

Prog

(PARI) lambertw(5) \\ G. C. Greubel, Nov 16 2017

Crossrefs

Cf. A030178, A196515, A196516, A196517, A196519.

Sequence in context: A275630 A102004 A233208 * A207636 A125764 A023897

Adjacent sequences: A196515 A196516 A196517 * A196519 A196520 A196521

Keyword

nonn,cons

Author

Clark Kimberling, Oct 03 2011

Status

approved