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Number of 2Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4
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%I #4 Apr 12 2014 19:13:27

%S 3,4,5,10,14,24,53,70,140,237,396,730,1242,2166,3743,6547,11397,19760,

%T 34622,59868,104358,181794,315863,550264,957027,1665335,2897587,

%U 5042553,8774919,15266419,26569228,46226952,80439383,139977422,243558497

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

%C Row 2 of A240792

%H R. H. Hardin, <a href="/A240793/b240793.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-2) +4*a(n-3) -a(n-4) -3*a(n-5) -a(n-6) +a(n-7) -9*a(n-8) -9*a(n-9) +8*a(n-10) +15*a(n-11) +4*a(n-12) -15*a(n-13) +2*a(n-14) +3*a(n-15) +7*a(n-16) -7*a(n-17) for n>21

%e Some solutions for n=4

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 12 2014