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Number of (n+1)X(n+1) 0..4 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1
1

%I #5 Dec 18 2013 20:59:41

%S 61,3059,591711,454996327,1394283842243,17100147398257787,

%T 841477590887025128591,166464986867345392587609693,

%U 132584609704248220162949309257517

%N Number of (n+1)X(n+1) 0..4 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

%C Diagonal of A234036

%H R. H. Hardin, <a href="/A234028/b234028.txt">Table of n, a(n) for n = 1..10</a>

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 18 2013