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Number of 2Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it, modulo 4
1

%I #4 Mar 27 2014 09:10:50

%S 5,23,132,729,3951,21602,118253,646306,3532732,19315270,105601487,

%T 577330665,3156353205,17256335056,94343160597,515789128277,

%U 2819903064231,15416868881838,84286524854294,460808121256380,2519312876415017

%N Number of 2Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it, modulo 4

%C Row 2 of A239819

%H R. H. Hardin, <a href="/A239820/b239820.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -28*a(n-2) +74*a(n-3) -181*a(n-4) +236*a(n-5) -261*a(n-6) +234*a(n-7) +200*a(n-8) -279*a(n-9) +104*a(n-10) -268*a(n-11) -36*a(n-12) +156*a(n-13) +104*a(n-14) -32*a(n-15) -16*a(n-16)

%e Some solutions for n=5

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 27 2014