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%I #6 Oct 01 2021 16:45:41
%S 5,25,118,468,1501,4167,10423,24115,52449,108395,214496,408732,753333,
%T 1347741,2347301,3989727,6631953,10800653,17260510,27105244,41877485,
%U 63724811,95600675,141520531,206885249,298885895,427006156,603641124
%N Number of n X 4 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the sum of elements above it, modulo 3.
%C Column 4 of A238812.
%H R. H. Hardin, <a href="/A238808/b238808.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/302400)*n^10 - (13/90720)*n^9 + (37/6720)*n^8 - (451/3780)*n^7 + (29063/14400)*n^6 - (100891/4320)*n^5 + (11871787/60480)*n^4 - (25402589/22680)*n^3 + (35075741/8400)*n^2 - (2861612/315)*n + 8719 for n>4.
%e Some solutions for n=5
%e ..2..2..0..0....0..0..0..0....0..0..2..2....0..0..0..2....0..0..0..0
%e ..2..1..0..0....0..2..2..0....2..2..1..1....2..2..0..1....0..2..2..0
%e ..0..0..0..2....0..2..1..0....2..1..2..2....2..1..0..0....0..2..2..0
%e ..0..0..2..1....0..0..2..2....0..2..2..1....0..2..2..0....2..1..0..2
%e ..0..2..1..0....2..1..2..2....0..2..1..0....0..2..1..2....2..2..1..1
%Y Cf. A238812.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 05 2014
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