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Number of 4 X n 0..5 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 6, and upper left element zero.
1

%I #6 Apr 17 2022 20:20:35

%S 0,0,0,396,9760,287616,9059304,292876646,9310749694,294484977580,

%T 9312308822168,294637923846120,9323504342263188,295032294191363990,

%U 9335936355384370134,295424743795540309078,9348376371338828673358

%N Number of 4 X n 0..5 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 6, and upper left element zero.

%C Row 4 of A230730.

%H R. H. Hardin, <a href="/A230732/b230732.txt">Table of n, a(n) for n = 1..101</a>

%e Some solutions for n=4

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

%e ..0..5..4..3....0..5..4..1....0..5..4..3....0..5..4..3....0..3..0..5

%e ..4..4..3..2....4..1..2..3....4..3..0..5....3..4..5..0....4..5..4..1

%e ..5..0..1..0....0..5..4..3....2..1..0..5....3..2..1..0....4..3..2..1

%Y Cf. A230730.

%K nonn

%O 1,4

%A _R. H. Hardin_, Oct 28 2013