OFFSET
0,5
COMMENTS
For any Eisenstein integer z = u + v*w (where u and v are integers), we call u the "real" part of z and v the "w" part of z.
The function f defines a bijection from the nonnegative integers to the Eisenstein integers.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 0..16383
Rémy Sigrist, Colored representation of f(n) for n = 0..4^10-1 in a hexagonal lattice (where the hue is function of n)
Rémy Sigrist, PARI program for A348910
Gary Teachout, Fractal Space Filling Curves 2002, section "A Four Tile Star"
Wikipedia, Eisenstein integer
FORMULA
a(2^k) = A077966(k) for any k >= 0.
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
sign,base
AUTHOR
Rémy Sigrist, Nov 03 2021
STATUS
approved