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Number of 3Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the 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 7,43,257,1693,10997,74255,492758,3349106,22433886,152643539,

%T 1027272805,6985683412,47128486230,320193692690,2163219506254,

%U 14685211888947,99300200123859,673693197611946,4558092645337083,30910190288935629

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

%C Row 3 of A240364

%H R. H. Hardin, <a href="/A240366/b240366.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A240366/a240366.txt">Empirical recurrence of order 80</a>

%F Empirical recurrence of order 80 (see link above)

%e Some solutions for n=4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 04 2014