A251066 - OEIS

%I #4 Nov 29 2014 18:18:21

%S 336,2740,17129,89429,410718,1716324,6678657,24601591,86829924,

%T 296316228,984577369,3202676417,10242533906,32315864964,100861744449,

%U 312101151267,959163561400,2931830099988,8923446044937,27069106904461,81899632621478

%N Number of (2+1)X(n+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01

%C Row 2 of A251065

%H R. H. Hardin, <a href="/A251066/b251066.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 18*a(n-1) -146*a(n-2) +706*a(n-3) -2268*a(n-4) +5102*a(n-5) -8246*a(n-6) +9654*a(n-7) -8131*a(n-8) +4808*a(n-9) -1896*a(n-10) +448*a(n-11) -48*a(n-12)

%e Some solutions for n=4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2014