%I #8 Oct 25 2018 08:13:27
%S 4,16,54,149,354,757,1495,2773,4888,8258,13456,21249,32642,48927,
%T 71737,103105,145528,202036,276266,372541,495954,652457,848955,
%U 1093405,1394920,1763878,2212036,2752649,3400594,4172499,5086877,6164265,7427368,8901208
%N Number of 5 X n 0..2 arrays with no element equal to the sum of elements to its left or one plus the sum of the elements above it, modulo 3.
%H R. H. Hardin, <a href="/A239032/b239032.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/144)*n^6  (17/240)*n^5 + (169/144)*n^4  (81/16)*n^3 + (1463/72)*n^2  (1001/30)*n + 25 for n>1.
%F Conjectures from _Colin Barker_, Oct 25 2018: (Start)
%F G.f.: x*(4  12*x + 26*x^2  33*x^3 + 25*x^4  6*x^5  3*x^6 + 4*x^7) / (1  x)^7.
%F a(n) = 7*a(n1)  21*a(n2) + 35*a(n3)  35*a(n4) + 21*a(n5)  7*a(n6) + a(n7) for n>8.
%F (End)
%e Some solutions for n=5:
%e ..2..0..0..0..0....2..0..0..0..0....2..0..0..0..0....2..0..0..0..0
%e ..2..0..0..0..0....2..0..0..0..0....1..0..2..2..0....2..0..0..0..0
%e ..1..0..2..2..0....1..0..0..2..2....2..0..1..1..0....1..0..0..0..2
%e ..2..0..1..1..0....1..2..2..1..2....2..0..0..0..0....1..2..2..0..1
%e ..1..0..0..0..0....2..1..1..0..0....1..2..2..0..0....2..1..1..0..2
%Y Row 5 of A239030.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 09 2014
