OFFSET
1,6
COMMENTS
Will z run through every Gaussian integer?
LINKS
Rémy Sigrist, Table of n, a(n) for n = 1..10000
Rémy Sigrist, Colored representation of z(n) for n = 1..400000 in the complex plane (where the hue is function of n)
Rémy Sigrist, Colored representation of z(n) such that max(|Re(z(n))|, |Im(z(n))|) < 1000 for n = 1..10000000 in the complex plane (where the hue is function of n)
Rémy Sigrist, PARI program for A322574
EXAMPLE
The first terms, alongside z(n), k(n) and associate children, are:
n a(n) z(n) k z(4*n-2) z(4*n-1) z(4*n) z(4*n+1)
-- ---- ------- - -------- -------- ------ --------
1 0 0 1 1 i -1 -i
2 1 1 3 4 1 + 3*i -2 1 - 3*i
3 0 i 3 3 + i 4*i -3 + i -2*i
4 -1 -1 3 2 -1 + 3*i -4 -1 - 3*i
5 0 -i 3 3 - i 2*i -3 - i -4*i
6 4 4 1 5 4 + i 3 4 - i
7 1 1 + 3*i 1 2 + 3*i 1 + 4*i 3*i 1 + 2*i
8 -2 -2 8 6 -2 + 8*i -10 -2 - 8*i
9 1 1 - 3*i 1 2 - 3*i 1 - 2*i -3*i 1 - 4*i
10 3 3 + i 4 7 + i 3 + 5*i -1 + i 3 - 3*i
PROG
(PARI) \\ See Links section.
CROSSREFS
KEYWORD
sign
AUTHOR
Rémy Sigrist, Dec 17 2018
STATUS
approved