cp's OEIS Frontend

A208017 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 1 vertically.

%I A208017 #7 Jul 22 2025 21:06:41
%S A208017 20,400,1260,8643,32860,92560,393049,1578401,5340405,20121640,
%T A208017 78251775,284274270,1051011118,3983096719,14785680541,54778074707,
%U A208017 205202336088,765281117395,2844826058100,10615121655468,39598654722769
%N A208017 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 1 vertically.
%C A208017 Row 7 of A208013
%H A208017 R. H. Hardin, <a href="/A208017/b208017.txt">Table of n, a(n) for n = 1..210</a>
%F A208017 Empirical: a(n) = a(n-1) +43*a(n-3) +12*a(n-4) +12*a(n-5) -432*a(n-6) -288*a(n-7) +1728*a(n-9) for n>11
%e A208017 Some solutions for n=4
%e A208017 ..1..1..1..1....1..1..1..1....1..1..1..1....0..0..1..1....1..0..0..1
%e A208017 ..0..1..1..1....1..0..0..1....1..1..1..1....0..0..1..1....0..1..1..0
%e A208017 ..0..1..0..0....1..1..0..0....1..1..1..1....0..0..1..1....1..0..0..1
%e A208017 ..0..0..1..0....1..0..0..1....0..1..0..0....0..0..1..0....0..1..1..0
%e A208017 ..0..1..0..0....1..1..0..0....1..1..1..0....0..0..1..1....1..0..0..1
%e A208017 ..0..0..1..0....1..0..0..1....0..1..0..0....0..0..1..0....0..0..1..0
%e A208017 ..0..1..0..0....0..1..0..0....0..0..1..0....0..0..1..1....1..0..0..1
%K A208017 nonn
%O A208017 1,1
%A A208017 _R. H. Hardin_ Feb 22 2012