A205286 - OEIS

%I #5 Mar 31 2012 12:37:05

%S 81,476,2766,15728,89630,511044,2913944,16611380,94699360,539880924,

%T 3077859284,17546758636,100033478620,570287962208,3251195031144,

%U 18534964466228,105667273378104,602405957212488,3434298293663288

%N Number of (n+1)X2 0..2 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents

%C Column 1 of A205293

%H R. H. Hardin, <a href="/A205286/b205286.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-2) +54*a(n-3) +283*a(n-4) +688*a(n-5) +1396*a(n-6) +2004*a(n-7) -212*a(n-8) -4692*a(n-9) -13221*a(n-10) -22814*a(n-11) -14278*a(n-12) +4640*a(n-13) +31376*a(n-14) +58752*a(n-15) +41064*a(n-16) +7728*a(n-17) for n>19

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 25 2012