A203271 - OEIS

%I #5 Mar 31 2012 12:36:56

%S 1,36,861,12783,165993,2229009,31121459,435195718,6036949807,

%T 83544266699,1157418183439,16047175896509,222477813284564,

%U 3083880367975284,42745762160067451,592517433790518729,8213258632362388728

%N Number of nX2 0..5 arrays with every nonzero element less than or equal to some NW, E or S neighbor

%C Column 2 of A203277

%H R. H. Hardin, <a href="/A203271/b203271.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 36*a(n-1) -560*a(n-2) +5460*a(n-3) -37492*a(n-4) +184080*a(n-5) -652174*a(n-6) +1708101*a(n-7) -3402070*a(n-8) +5328827*a(n-9) -6942268*a(n-10) +7733863*a(n-11) -6899211*a(n-12) +4600369*a(n-13) -2220772*a(n-14) +777436*a(n-15) -202500*a(n-16)

%e Some solutions for n=4

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

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

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

%e ..5..5....5..5....5..5....0..3....0..4....5..5....5..5....5..5....0..0....3..3

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 31 2011