OFFSET
-45,1
COMMENTS
This sequence is connected to A359187.
For a detailed explanation of the fact that Re((-sqrt(2))^^9) is surprisingly close to 1, see Links (i.e., the answer provided by the MathOverflow user Saúl RM).
LINKS
Paolo Xausa, Table of n, a(n) for n = -45..10000
MathOverflow, The 9th tetration of -sqrt(2).
Marco Ripà, Patterns related to the Smarandache circular sequence primality problem, ResearchGate, 2012.
FORMULA
Equals Re((-sqrt(2))^(-sqrt(2))^(-sqrt(2))^(-sqrt(2))^(-sqrt(2))^(-sqrt(2))^(-sqrt(2))^(-sqrt(2))).
EXAMPLE
6.4918784725581282913466165585...*10^(-46)
MATHEMATICA
First[RealDigits[Re[Nest[(-Sqrt[2])^#&, -Sqrt[2], 7]], 10, 100]] (* Paolo Xausa, Oct 24 2023 *)
CROSSREFS
KEYWORD
AUTHOR
Marco Ripà, Sep 23 2023
STATUS
approved