login
A351727
Decimal expansion of e^^e (tetration of the base e = 2.718281828... of height e), using H. Kneser's proposal for a tetration function.
2
2, 0, 7, 5, 9, 6, 8, 3, 3, 5, 0, 5, 8, 0, 6, 5, 8, 3, 3, 5, 7
OFFSET
4,1
COMMENTS
Tetration can be extended to complex bases as described in the Paulsen reference.
As far as we know, it has not been proved if e^^e is an irrational number (or not).
A conjectured more accurate value of e^^e is 2075.968335058065833574392795134533608218230677029314\ 707635083348823037593106577919477912677373356093134821... obtained with S. Levenstein's PARI program fatou.gp, but its accuracy needs an independent assessment. - Hugo Pfoertner, Feb 22 2022
LINKS
Sheldon Levenstein (user sheldonison), New fatou.gp program, Jul 10 2015, updated Aug 14 2019.
William Paulsen, Tetration.
William Paulsen, Tetration for complex bases, Advances in Computational Mathematics, Vol. 45, No. 1 (2019), pp. 243-267; ResearchGate link.
Wikipedia, Tetration
FORMULA
e^e^... (e times).
EXAMPLE
2075.96833505806583357...
CROSSREFS
Cf. A001113.
Sequence in context: A326731 A021486 A258990 * A337450 A228819 A104540
KEYWORD
nonn,cons,more,hard
AUTHOR
Marco Ripà, Feb 17 2022
STATUS
approved