A239172 - OEIS

%I #4 Mar 11 2014 19:48:09

%S 26,82,676,4338,29380,196698,1321986,8867938,59528520,399598612,

%T 2681935810,18001714474,120831198520,811019710990,5443667518288,

%U 36538530014326,245249725777154,1646142454877826,11049078946194810

%N Number of (n+1)X(2+1) 0..2 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors

%C Column 2 of A239178

%H R. H. Hardin, <a href="/A239172/b239172.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-2) +149*a(n-3) +319*a(n-4) +372*a(n-5) -742*a(n-6) -1302*a(n-7) +296*a(n-8) +279*a(n-9) +1010*a(n-10) -921*a(n-11) +278*a(n-12) +747*a(n-13) -508*a(n-14) +361*a(n-15) -662*a(n-16) +626*a(n-17) -360*a(n-18) +80*a(n-19)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 11 2014