OFFSET
0,4
COMMENTS
The dual Zeckendorf representation corresponds to the lazy Fibonacci representation (see A356771 for further details).
LINKS
Rémy Sigrist, Colored representation of the table for x, y < Fibonacci(16) - 1 (where the color is function of A(x, y))
Rémy Sigrist, PARI program
FORMULA
EXAMPLE
Array A(n, k) begins:
n\k | 0 1 2 3 4 5 6 7 8 9 10 11 12 13
----+-------------------------------------------------------
0 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13
1 | 1 1 3 3 4 6 6 8 8 9 11 11 12 14
2 | 2 3 2 3 6 5 6 7 8 11 10 11 14 13
3 | 3 3 3 3 6 6 6 8 8 11 11 11 14 14
4 | 4 4 6 6 4 6 6 11 11 9 11 11 12 14
5 | 5 6 5 6 6 5 6 10 11 11 10 11 14 13
6 | 6 6 6 6 6 6 6 11 11 11 11 11 14 14
7 | 7 8 7 8 11 10 11 7 8 11 10 11 19 18
8 | 8 8 8 8 11 11 11 8 8 11 11 11 19 19
9 | 9 9 11 11 9 11 11 11 11 9 11 11 17 19
10 | 10 11 10 11 11 10 11 10 11 11 10 11 19 18
11 | 11 11 11 11 11 11 11 11 11 11 11 11 19 19
12 | 12 12 14 14 12 14 14 19 19 17 19 19 12 14
13 | 13 14 13 14 14 13 14 18 19 19 18 19 14 13
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
AUTHOR
Rémy Sigrist, Mar 24 2023
STATUS
approved