OFFSET
1,2
FORMULA
Equals limit_{n->infinity} A306734(n)^(1/sqrt(n)).
Equals limit_{n->infinity} A333179(n)^(1/sqrt(n)).
Equals exp(sqrt(4*log(r)^2/3 + 4*polylog(2, 1-r) - Pi^2/3)), where r = 1 - A357471 = 0.4301597090019467340886... is the real root of the equation r^2 = (1-r)^3. - Vaclav Kotesovec, Oct 07 2024
EXAMPLE
1.86429525435844065924747599856112246877295244507368421574403...
MATHEMATICA
RealDigits[E^Sqrt[4*Log[r]^2/3 + 4*PolyLog[2, 1-r] - Pi^2/3] /. r -> (2 - 5*(2/(-11 + 3*Sqrt[69]))^(1/3) + ((-11 + 3*Sqrt[69])/2)^(1/3))/3, 10, 120][[1]] (* Vaclav Kotesovec, Oct 07 2024 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Mar 11 2020
EXTENSIONS
More digits from Vaclav Kotesovec, Oct 07 2024
STATUS
approved