cp's OEIS Frontend

A208105 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.

%I A208105 #7 Jul 22 2025 21:09:46
%S A208105 15,225,611,1805,6235,22995,89815,361261,1483295,6161925,25792655,
%T A208105 108453119,457324951,1931799849,8168996779,34567178365,146331546515,
%U A208105 619615536891,2624066727095,11113979515925,47075003890759
%N A208105 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.
%C A208105 Column 5 of A208108
%H A208105 R. H. Hardin, <a href="/A208105/b208105.txt">Table of n, a(n) for n = 1..210</a>
%F A208105 Empirical: a(n) = 7*a(n-1) -8*a(n-2) -27*a(n-3) +45*a(n-4) +24*a(n-5) -51*a(n-6) -3*a(n-7) +16*a(n-8) -a(n-9) -a(n-10) for n>11
%e A208105 Some solutions for n=7
%e A208105 ..0..1..1..1..0....0..1..1..1..0....1..0..0..1..1....1..1..0..0..1
%e A208105 ..1..1..0..0..1....0..0..1..1..0....1..0..1..1..0....0..0..1..1..0
%e A208105 ..0..1..1..1..0....1..0..1..1..0....1..1..0..1..1....1..1..0..0..1
%e A208105 ..1..1..0..0..1....0..1..1..1..0....1..0..1..1..0....0..0..1..1..0
%e A208105 ..0..1..1..1..0....1..0..1..1..1....1..0..0..1..1....1..1..0..0..1
%e A208105 ..1..1..0..0..1....0..1..1..1..0....1..1..1..1..0....0..0..1..1..0
%e A208105 ..0..1..1..1..0....1..0..1..1..1....1..0..0..1..1....1..1..0..0..1
%K A208105 nonn
%O A208105 1,1
%A A208105 _R. H. Hardin_ Feb 23 2012