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Number of 3X3 0..n arrays with no row or column sum equal to the previous
2

%I #5 Mar 31 2012 12:36:49

%S 126,8460,143028,1217196,6835050,29025832,100804408,300779112,

%T 797002582,1919734900,4275569868,8918598788,17597763122,33103533936,

%U 59741213696,103962922160,175195148094,286904314092,457948263108,714267962604

%N Number of 3X3 0..n arrays with no row or column sum equal to the previous

%C Row 3 of A202651

%H R. H. Hardin, <a href="/A202652/b202652.txt">Table of n, a(n) for n = 1..33</a>

%F Empirical: a(n) = 5*a(n-1) -6*a(n-2) -9*a(n-3) +24*a(n-4) -3*a(n-5) -26*a(n-6) +7*a(n-7) +18*a(n-8) +7*a(n-9) -26*a(n-10) -3*a(n-11) +24*a(n-12) -9*a(n-13) -6*a(n-14) +5*a(n-15) -a(n-16)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 22 2011