A256254 Decimal expansion of a constant related to A258399, A258426 and A258499.

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

Offset

2,1

Links

Table of n, a(n) for n=2..115.

Formula

Equals limit n->infinity (A258399(n)/n!)^(1/n).

Equals limit n->infinity (A258426(n)/n!^2)^(1/n).

Equals limit n->infinity (A258499(n)/n!)^(1/n).

Equals -64/(LambertW(-2*exp(-2))*(2 + LambertW(-2*exp(-2)))). - Vaclav Kotesovec, Sep 27 2023

Example

98.8248737517356857317068826248140248587662367085444440551927363896485...

Mathematica

RealDigits[-64/(LambertW[-2/E^2]*(2 + LambertW[-2/E^2])), 10, 120][[1]] (* Vaclav Kotesovec, Sep 27 2023 *)

Crossrefs

Cf. A258399, A258426, A258499.

Sequence in context: A060799 A094146 A021507 * A203078 A065468 A258752

Adjacent sequences: A256251 A256252 A256253 * A256255 A256256 A256257

Keyword

nonn,cons

Author

Vaclav Kotesovec, Jun 01 2015

Extensions

More terms from Vaclav Kotesovec, Dec 05 2016

Status

approved