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Number of 7 X n 0..4 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 5, and upper left element zero.
0

%I #5 May 25 2024 23:41:37

%S 0,0,0,58474,98987768,67978636208,34266592666538,17991771309348534,

%T 9155613751914545266,4619389107348901275470

%N Number of 7 X n 0..4 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 5, and upper left element zero.

%C Row 7 of A230571.

%e Some solutions for n=4

%e ..0..1..0..1....0..1..0..4....0..1..2..1....0..1..0..3....0..1..0..3

%e ..2..3..2..1....2..3..3..2....2..3..0..4....2..3..4..3....2..3..4..2

%e ..4..0..0..4....4..0..1..0....4..0..3..4....2..0..4..2....2..0..3..4

%e ..1..2..3..2....2..3..4..3....1..2..0..1....1..2..3..2....1..2..0..1

%e ..1..0..2..1....0..1..2..4....1..0..2..1....1..4..1..0....3..4..2..3

%e ..4..3..0..4....0..1..0..4....4..3..0..4....0..1..4..1....3..2..4..3

%e ..1..2..3..2....0..2..3..2....2..2..3..2....2..3..2..1....1..0..4..3

%Y Cf. A230571.

%K nonn

%O 1,4

%A _R. H. Hardin_, Oct 23 2013