A185766 - OEIS

%I #5 Mar 31 2012 12:36:03

%S 1736,10592,75192,562800,4430912,35108016,278758936,2212654240,

%T 17567479016,139478572544,1107370142640,8792101180232,69804143650776,

%U 554214418338440,4400166223484904,34935244761367808,277367986882503912

%N Number of (n+1)X7 binary arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace

%C Column 6 of A185769

%H R. H. Hardin, <a href="/A185766/b185766.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=a(n-1)+54*a(n-2)+60*a(n-3)-400*a(n-4)-155*a(n-5)+924*a(n-6)-1220*a(n-7)-76*a(n-8)+1725*a(n-9)-642*a(n-10)-412*a(n-11)-88*a(n-12)+100*a(n-13)+40*a(n-14) for n>18

%e Some solutions for 3X7

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 03 2011