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

0,3

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

Cf. A308178, A263313, A308180.

Sequence in context: A138377 A021316 A092092 * A086800 A326296 A246773

Adjacent sequences: A308176 A308177 A308178 * A308180 A308181 A308182

Keyword

nonn,tabl

Author

N. J. A. Sloane, May 28 2019

Extensions

More terms from Rémy Sigrist, May 29 2019

Status

approved