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

%I #5 Aug 11 2014 22:46:11

%S 8,51,257,1181,4825,18307,64013,209366,645067,1889163,5290881,

%T 14255341,37123088,93794323,230612423,553103591,1296531617,2974976604,

%U 6690386564,14761551146,31981485566,68087935696,142536873665,293578073240

%N Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or two 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 A240364

%H R. H. Hardin, <a href="/A240360/b240360.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A240360/a240360.txt">Empirical polynomial of degree 26</a>

%F Empirical polynomial of degree 26 (see link above)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 04 2014