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Number of nX4 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing
1

%I #4 Mar 31 2013 14:36:27

%S 11,56,187,574,1783,5657,18408,61140,205390,694018,2350061,7961090,

%T 26964678,91303265,309082754,1046163241,3540718751,11983122960,

%U 40555030532,137252283821,464510611475,1572073476421,5320479934245

%N Number of nX4 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing

%C Column 4 of A224158

%H R. H. Hardin, <a href="/A224154/b224154.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -5*a(n-2) -2*a(n-3) -3*a(n-4) +18*a(n-5) -18*a(n-6) +27*a(n-7) -3*a(n-8) -4*a(n-9) -8*a(n-11) -6*a(n-12) -6*a(n-13) for n>14

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 31 2013