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Number of n X 6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,1,0,0 for x=0,1,2,3,4.
1

%I #7 Jan 20 2024 15:24:12

%S 16,160,3500,62586,1220630,23325250,454280983,8844380028,172982554332,

%T 3386294190736,66356347688978,1300795127521094,25506585069158562,

%U 500211695453958433,9810478953775130079,192417797960470740096

%N Number of n X 6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,1,0,0 for x=0,1,2,3,4.

%C Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 0's.

%C Column 6 of A197537.

%H R. H. Hardin, <a href="/A197535/b197535.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions containing all values 0 to 4 for n=4:

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

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

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

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

%Y Cf. A197537.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 16 2011