A207941 - OEIS

%I #5 Mar 31 2012 12:37:20

%S 10,100,350,1271,5594,25490,121313,584386,2841676,13864995,67793828,

%T 331778574,1624527917,7956223332,38970988538,190898358977,

%U 935140523244,4580980652676,22441074230301,109933649821120,538540783077848

%N Number of 5Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 1 0 vertically

%C Row 5 of A207938

%H R. H. Hardin, <a href="/A207941/b207941.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -5*a(n-2) -82*a(n-3) +113*a(n-4) +341*a(n-5) -502*a(n-6) -765*a(n-7) +943*a(n-8) +998*a(n-9) -797*a(n-10) -709*a(n-11) +275*a(n-12) +233*a(n-13) -26*a(n-14) -24*a(n-15) for n>16

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 21 2012