A254416 - OEIS

%I #4 Jan 30 2015 10:29:15

%S 470,3279,26783,238639,2182689,20251190,189197280,1775014082,

%T 16692481242,157205933600,1481804358552,13974618847312,

%U 131833559769176,1243927351468696,11738545341998160,110780669523152824

%N Number of (n+1)X(2+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Column 2 of A254422

%H R. H. Hardin, <a href="/A254416/b254416.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 21*a(n-1) -139*a(n-2) +191*a(n-3) +1344*a(n-4) -4896*a(n-5) +1972*a(n-6) +10548*a(n-7) -8240*a(n-8) -8576*a(n-9) +4704*a(n-10) +3072*a(n-11) for n>17

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 30 2015