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Number of nX3 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4
1

%I #4 Mar 22 2014 05:56:00

%S 10,15,31,82,177,458,1071,2150,5209,11204,24273,58130,123647,278779,

%T 634283,1360984,3103558,6892041,15084730,34250268,75240998,167095718,

%U 375589317,825397281,1846103269,4114306092,9085354958,20337008173

%N Number of nX3 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4

%C Column 3 of A239599

%H R. H. Hardin, <a href="/A239595/b239595.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 22 2014