A308179 The triangle defined in A308178, but read across rows.

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

Author

N. J. A. Sloane, May 28 2019

Keywords

• nonn
• tabl

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).

Examples

			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 ...,
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..11475 (rows for x = 0..150)

Crossrefs

Cf. A308178, A263313, A308180.

Extensions

More terms from Rémy Sigrist, May 29 2019