A395325 Decimal expansion of e^2/(e^LambertW(e^2) + e^2).

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

Offset

0,1

Links

Table of n, a(n) for n=0..99.

David Gonzalez, Enumerative Combinatorics of Homogeneous Linear Orderings, arXiv:2604.14255 [math.CO], 2026. See Theorem 1.4 on page 3.

Formula

Equals 1/(1 + 1/LambertW(e^2)) = 1/(1 + A392073).

Example

0.608938966794853169488553583556654894443775714...

Mathematica

RealDigits[E^2/(E^ProductLog[E^2]+E^2), 10, 100][[1]]

Crossrefs

Cf. A001113, A072334, A226571, A392073.

Sequence in context: A085609 A153609 A156015 * A201898 A395268 A193336

Adjacent sequences: A395322 A395323 A395324 * A395326 A395327 A395328

Keyword

nonn,cons,easy

Author

Stefano Spezia, Apr 19 2026

Status

approved