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Number of (3+1)X(n+1) 0..3 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors
1

%I #4 Mar 07 2014 08:26:27

%S 144,13456,611524,25080064,1176627204,56843142724,2709454265764,

%T 128279816340624,6079146560329924,288422073077743396,

%U 13684604007820147600,649179381582973359556,30795222312008784568324

%N Number of (3+1)X(n+1) 0..3 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors

%C Row 3 of A238929

%H R. H. Hardin, <a href="/A238932/b238932.txt">Table of n, a(n) for n = 1..143</a>

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 07 2014