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A308179 The triangle defined in A308178, but read across rows. 4

%I #11 May 29 2019 21:08:59

%S 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,

%T 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,

%U 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

%N The triangle defined in A308178, but read across rows.

%C Column y=1 is A263313; the main diagonal is A308180.

%C 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).

%H Rémy Sigrist, <a href="/A308179/b308179.txt">Table of n, a(n) for n = 0..11475</a> (rows for x = 0..150)

%e Start of chessboard showing antidiagonals 0 through 12:

%e y = 0, 1, 2, 3, 4, 5, 6, 7, ...

%e --------------------------------

%e x=0 0,

%e x=1 1, 3,

%e x=2 2, 0, 5,

%e x=3 3, 1, 4, 2,

%e x=4 4, 2, 0, 3, 1,

%e x=5 5, 7, 1, 4, 2, 6,

%e x=6 6, 4, 2, 0, 3, 5, 7,

%e x=7 7, 5, 3, 1, 4, 10, ...,

%e x=8 8, 6, 7, 9, 0, ...,

%e x=9 9, 11, 10, 8, ...,

%e x=10 10, 8, 6, ...,

%e x=11 11, 9, ...,

%e x=12 12, ...,

%e x=13 ...,

%Y Cf. A308178, A263313, A308180.

%K nonn,tabl

%O 0,3

%A _N. J. A. Sloane_, May 28 2019

%E More terms from _Rémy Sigrist_, May 29 2019

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Last modified August 10 17:16 EDT 2024. Contains 375058 sequences. (Running on oeis4.)