login
A308179
The triangle defined in A308178, but read across rows.
4
0, 1, 3, 2, 0, 5, 3, 1, 4, 2, 4, 2, 0, 3, 1, 5, 7, 1, 4, 2, 6, 6, 4, 2, 0, 3, 5, 7, 7, 5, 3, 1, 4, 10, 8, 11, 8, 6, 7, 9, 0, 11, 5, 10, 4, 9, 11, 10, 8, 6, 3, 13, 7, 15, 12, 10, 8, 6, 5, 9, 0, 14, 12, 11, 7, 18, 11, 9, 12, 7, 8, 1, 10, 5, 6, 15, 13, 14, 12, 10, 8, 6, 5, 2, 0, 14, 9, 16, 17, 11, 13
OFFSET
0,3
COMMENTS
Column y=1 is A263313; the main diagonal is A308180.
After 13 steps, the y=2 column appears to become quasi-periodic with a saltus of 4. That is, the first differences appear to become periodic with period (-1, -2, 1, 6).
LINKS
Rémy Sigrist, Table of n, a(n) for n = 0..11475 (rows for x = 0..150)
EXAMPLE
Start of chessboard showing antidiagonals 0 through 12:
y = 0, 1, 2, 3, 4, 5, 6, 7, ...
--------------------------------
x=0 0,
x=1 1, 3,
x=2 2, 0, 5,
x=3 3, 1, 4, 2,
x=4 4, 2, 0, 3, 1,
x=5 5, 7, 1, 4, 2, 6,
x=6 6, 4, 2, 0, 3, 5, 7,
x=7 7, 5, 3, 1, 4, 10, ...,
x=8 8, 6, 7, 9, 0, ...,
x=9 9, 11, 10, 8, ...,
x=10 10, 8, 6, ...,
x=11 11, 9, ...,
x=12 12, ...,
x=13 ...,
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
N. J. A. Sloane, May 28 2019
EXTENSIONS
More terms from Rémy Sigrist, May 29 2019
STATUS
approved