OFFSET
1,1
COMMENTS
The imaginary part of f(n) is A332823(n)*(sqrt(3)/2)*i.
f(n) = w^(A048675(n)) = w^(A195017(n)), where w = (-1 + sqrt(3)*i)/2, the primitive cube root of unity with positive imaginary part. (w may also be expressed as e^(i*2*Pi/3).)
The function f is useful for analyzing the inverse Moebius transform of A332823 considered as a stand-alone integer-valued function.
FORMULA
a(n) = 2 - 3 * A332823(n)^2.
PROG
CROSSREFS
KEYWORD
sign
AUTHOR
Antti Karttunen and Peter Munn, Apr 19 2022
STATUS
approved