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Number of nX4 0..n*4-1 arrays with upper left zero and lower right n*4-1 and each element differing from its horizontal, vertical and diagonal neighbors by a power of two.
1

%I #4 Dec 09 2015 13:46:42

%S 2,12,0,0,0,3249,595253,11022848,504744595,21040741278,340492634409,

%T 7110814430179,459653526742074,4437542161639049,105508629834995631,

%U 5522222536138626811,126913917889878003282,2918377646811870525109

%N Number of nX4 0..n*4-1 arrays with upper left zero and lower right n*4-1 and each element differing from its horizontal, vertical and diagonal neighbors by a power of two.

%C Column 4 of A265494.

%H R. H. Hardin, <a href="/A265490/b265490.txt">Table of n, a(n) for n = 1..64</a>

%e Some solutions for n=6

%e ..0..4..8..0....0.16..8.12....0..4.20.12....0..4..5..3....0.16.14..6

%e .16..8..6..4...16..8.12.10...16..8.12.16...16..8..6..4...16..8.12.10

%e .14.12.10..8...14.12.10..8...14.12.10..8...14.12.10..8...14.12.10.11

%e .12.13.11..9...15.13.11..9...15.13.11..9...15.13.11..9...15.13.11..9

%e .10.11.15..7...19.17.15..7....7.11.15..7....7.11.15..7....7.11.15..7

%e .11..9..7.23...17.21.19.23...23.15.19.23...11..9..7.23....5..3.19.23

%Y Cf. A265494.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 09 2015