A207252 - OEIS

%I #5 Mar 31 2012 12:37:16

%S 12,144,636,3560,18688,101036,541380,2906592,15585680,83611228,

%T 448508160,2406031628,12906861916,69237527840,371416568460,

%U 1992423747700,10688138114240,57335348257076,307569175706760,1649921069864080

%N Number of nX6 0..1 arrays avoiding 0 0 1 and 1 0 1 horizontally and 0 1 0 and 1 0 1 vertically

%C Column 6 of A207254

%H R. H. Hardin, <a href="/A207252/b207252.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +9*a(n-2) +4*a(n-3) +58*a(n-4) +117*a(n-5) +100*a(n-6) +160*a(n-7) +169*a(n-8) +74*a(n-9) -12*a(n-10) -67*a(n-11) -26*a(n-12) +6*a(n-13) +3*a(n-14) +3*a(n-15) -a(n-16)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 16 2012