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

%I A308179 #11 May 29 2019 21:08:59
%S A308179 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 A308179 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 A308179 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 A308179 The triangle defined in A308178, but read across rows.
%C A308179 Column y=1 is A263313; the main diagonal is A308180.
%C A308179 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 A308179 Rémy Sigrist, <a href="/A308179/b308179.txt">Table of n, a(n) for n = 0..11475</a> (rows for x = 0..150)
%e A308179 Start of chessboard showing antidiagonals 0 through 12:
%e A308179 y =  0, 1, 2, 3, 4, 5, 6, 7, ...
%e A308179 --------------------------------
%e A308179 x=0  0,
%e A308179 x=1  1, 3,
%e A308179 x=2  2, 0, 5,
%e A308179 x=3  3, 1, 4, 2,
%e A308179 x=4  4, 2, 0, 3, 1,
%e A308179 x=5  5, 7, 1, 4, 2, 6,
%e A308179 x=6  6, 4, 2, 0, 3, 5, 7,
%e A308179 x=7  7, 5, 3, 1, 4, 10, ...,
%e A308179 x=8  8, 6, 7, 9, 0, ...,
%e A308179 x=9  9, 11, 10, 8, ...,
%e A308179 x=10 10, 8, 6, ...,
%e A308179 x=11 11, 9, ...,
%e A308179 x=12 12, ...,
%e A308179 x=13 ...,
%Y A308179 Cf. A308178, A263313, A308180.
%K A308179 nonn,tabl
%O A308179 0,3
%A A308179 _N. J. A. Sloane_, May 28 2019
%E A308179 More terms from _Rémy Sigrist_, May 29 2019