A205057 - OEIS

%I #5 Mar 31 2012 12:37:04

%S 81,491,2830,14206,68508,311076,1375313,5904417,24933375,103696183,

%T 427081054,1744729352,7088213440,28671903248,115624112159,

%U 465198328593,1868598182563,7496692149869,30050430752062,120382149539840

%N Number of (n+1)X2 0..2 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing

%C Column 1 of A205063

%H R. H. Hardin, <a href="/A205057/b205057.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -9*a(n-2) -130*a(n-3) +330*a(n-4) +668*a(n-5) -2784*a(n-6) -966*a(n-7) +11477*a(n-8) -4085*a(n-9) -26019*a(n-10) +21040*a(n-11) +31242*a(n-12) -39912*a(n-13) -14020*a(n-14) +35744*a(n-15) -6168*a(n-16) -11920*a(n-17) +6272*a(n-18) -768*a(n-19)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 21 2012