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Square array of Delannoy numbers D(i,j) mod 7 (i >= 0, j >= 0) read by antidiagonals.
3

%I #11 Dec 29 2014 03:24:34

%S 1,1,1,1,3,1,1,5,5,1,1,0,6,0,1,1,2,4,4,2,1,1,4,6,0,6,4,1,1,6,5,3,3,5,

%T 6,1,1,1,1,0,6,0,1,1,1,1,3,1,6,2,2,6,1,3,1,1,5,5,1,1,3,1,1,5,5,1,1,0,

%U 6,0,1,6,6,1,0,6,0,1,1,2,4,4,2,1,1,1,2,4,4,2,1

%N Square array of Delannoy numbers D(i,j) mod 7 (i >= 0, j >= 0) read by antidiagonals.

%H Marko Razpet, <a href="http://dx.doi.org/10.1016/S0012-365X(01)00098-X">A self-similarity structure generated by king's walk</a>, Algebraic and topological methods in graph theory (Lake Bled, 1999). Discrete Math. 244 (2002), no. 1-3, 423--433. MR1844050 (2002k:05022).

%e Written as a triangle:

%e 1,

%e 1, 1,

%e 1, 3, 1,

%e 1, 5, 5, 1,

%e 1, 0, 6, 0, 1,

%e 1, 2, 4, 4, 2, 1,

%e 1, 4, 6, 0, 6, 4, 1,

%e 1, 6, 5, 3, 3, 5, 6, 1,

%e 1, 1, 1, 0, 6, 0, 1, 1, 1,

%e ...

%Y Cf. A008288, A211312, A211313, A211315.

%K nonn,tabl

%O 0,5

%A _N. J. A. Sloane_, Apr 15 2012