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%I #4 Mar 05 2014 17:29:55
%S 7,58,498,4167,31125,197418,1055763,4880856,19977948,73988808,
%T 252222789,801902972,2401864834,6830347670,18555055873,48388061335,
%U 121621970223,295617804194,696809050142,1596626133081,3563675765061,7762159805512
%N Number of nX6 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 6 of A238812
%H R. H. Hardin, <a href="/A238810/b238810.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/1520925880320000)*n^21 - (521/4001483566080000)*n^20 + (280733/18246765061324800)*n^19 - (1009091/800296713216000)*n^18 + (1263428351/16005934264320000)*n^17 - (87961871/22417274880000)*n^16 + (157308110957/988601822208000)*n^15 - (561404357/105080976000)*n^14 + (32579981539913/217275125760000)*n^13 - (32002299106123/9053130240000)*n^12 + (507775457096141/7242504192000)*n^11 - (201470624506693/172440576000)*n^10 + (24782574974039318761/1520925880320000)*n^9 - (88935042592877896031/470762772480000)*n^8 + (127322197843062321569/70614415872000)*n^7 - (164460777264425293243/11769069312000)*n^6 + (1692671803663313850131/19615115520000)*n^5 - (3282324324299663003969/7939451520000)*n^4 + (598543228210824605143/405242838000)*n^3 - (57018800117252562839/15437822400)*n^2 + (25752092538637987/4476780)*n - 4188294729 for n>8
%e Some solutions for n=5
%e ..0..0..0..0..2..2....0..0..0..0..2..2....0..2..2..0..0..0....0..0..0..2..2..0
%e ..0..0..0..0..2..2....0..2..2..0..1..1....0..2..1..0..0..2....0..0..0..2..1..2
%e ..0..0..2..2..0..1....0..2..1..0..0..0....0..0..0..0..2..2....0..0..0..0..2..2
%e ..0..0..2..2..0..1....0..0..0..0..0..0....2..1..0..2..1..0....0..2..2..0..1..1
%e ..2..2..1..1..0..2....2..1..0..0..0..0....2..1..0..2..2..1....2..1..2..1..2..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 05 2014
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