cp's OEIS Frontend

A188711 Number of 7Xn binary arrays without the pattern 0 0 diagonally or vertically.

%I A188711 #7 Jul 22 2025 11:19:33
%S A188711 34,697,14925,318732,6814290,145764780,3118943536,66743533552,
%T A188711 1428321913952,30566631602016,654139520133696,13998888884058752,
%U A188711 299582781445141504,6411212320129846144,137202959280321342208
%N A188711 Number of 7Xn binary arrays without the pattern 0 0 diagonally or vertically.
%C A188711 Row 7 of A188706
%H A188711 R. H. Hardin, <a href="/A188711/b188711.txt">Table of n, a(n) for n = 1..200</a>
%F A188711 Empirical: a(n) = 34*a(n-1) -324*a(n-2) +1264*a(n-3) -2236*a(n-4) +1816*a(n-5) -624*a(n-6) +64*a(n-7) for n>9
%e A188711 Some solutions for 7X3
%e A188711 ..1..1..1....1..1..0....0..1..1....1..0..0....0..0..0....1..0..1....1..1..1
%e A188711 ..1..0..0....0..1..1....1..1..1....1..1..1....1..1..1....1..1..1....1..1..0
%e A188711 ..1..1..1....1..1..0....0..1..0....0..0..0....1..1..1....1..1..0....0..1..1
%e A188711 ..1..0..0....1..0..1....1..1..1....1..1..1....0..0..0....0..1..1....1..1..0
%e A188711 ..0..1..1....0..1..1....1..1..1....1..1..1....1..1..1....1..1..0....1..0..1
%e A188711 ..1..1..1....1..1..0....1..1..0....1..1..1....1..1..1....0..1..1....1..1..1
%e A188711 ..0..1..0....1..0..1....1..1..1....0..0..1....0..1..0....1..1..0....0..1..1
%K A188711 nonn
%O A188711 1,1
%A A188711 _R. H. Hardin_ Apr 08 2011