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Number of (n+1)X4 0..3 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors
1

%I #5 Mar 31 2012 12:37:06

%S 31216,1448498,74565586,3739413082,189526149374,9487785520264,

%T 479223390230911,24061843214827776,1213236873317242638,

%U 60992136826204821164,3072885977035886525323,154568462696565575064636

%N Number of (n+1)X4 0..3 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors

%C Column 3 of A205422

%H R. H. Hardin, <a href="/A205419/b205419.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 27 2012