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Number of (n+1)X8 0..3 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors
1

%I #5 Mar 31 2012 12:37:05

%S 22161076,6825854177,2919626746607,1671381122482219,

%T 1006455738823529884,675088076670736108423,426069670428664499911552,

%U 290434049426815952928276365,184112065386008056140687767286

%N Number of (n+1)X8 0..3 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors

%C Column 7 of A205097

%H R. H. Hardin, <a href="/A205096/b205096.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 22 2012