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%I #4 Mar 28 2014 08:37:08
%S 4,17,68,244,777,2221,5853,14488,34057,76495,164823,341898,685019,
%T 1329596,2506729,4601633,8242778,14435568,24759659,41655972,68838529,
%U 111877953,179018454,282309115,439154169,674416741,1023247403,1534854222
%N Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4
%C Column 3 of A239849
%H R. H. Hardin, <a href="/A239845/b239845.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/6227020800)*n^13 - (1/119750400)*n^12 + (221/479001600)*n^11 - (103/10886400)*n^10 + (649/4838400)*n^9 + (3569/3628800)*n^8 - (2313347/43545600)*n^7 + (10192331/10886400)*n^6 - (87698557/10886400)*n^5 + (82688371/2721600)*n^4 + (101725069/1247400)*n^3 - (505121941/415800)*n^2 + (698568509/180180)*n - 2851 for n>9
%e Some solutions for n=4
%e ..0..0..3....0..3..3....0..3..3....0..3..3....0..3..3....0..0..3....0..3..3
%e ..0..3..3....0..3..3....0..3..3....3..1..3....0..3..2....0..0..3....3..1..2
%e ..3..1..2....3..1..0....0..0..0....3..3..0....0..0..3....0..3..1....3..2..0
%e ..3..2..0....3..2..0....3..1..0....0..2..1....0..0..3....3..3..2....0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 28 2014
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