%I #5 Mar 31 2012 12:36:55

%S 1,6,36,161,636,2507,10213,42182,173606,710976,2908797,11911516,

%T 48807427,199987737,819315100,3356387171,13749952752,56330082115,

%U 230771042950,945410224602,3873094298871,15867039092263,65003096433432

%N Number of nX1 0..5 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor

%C Column 1 of A203057

%H R. H. Hardin, <a href="/A203050/b203050.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -15*a(n-2) +35*a(n-3) -35*a(n-4) +56*a(n-5) -28*a(n-6) +36*a(n-7) -9*a(n-8) +10*a(n-9) -a(n-10) +a(n-11)

%e Some solutions for n=5

%e ..3....4....4....3....3....1....3....5....5....4....0....2....4....2....5....2

%e ..3....4....4....3....3....1....3....5....5....4....3....2....4....2....5....2

%e ..5....5....1....2....4....5....0....5....3....5....3....5....5....5....3....1

%e ..5....5....0....4....4....5....5....2....2....5....1....5....5....5....4....1

%e ..0....2....0....4....3....4....5....0....1....4....0....2....5....1....4....0

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 28 2011