cp's OEIS Frontend

A188712 Number of 8Xn binary arrays without the pattern 0 0 diagonally or vertically.

%I A188712 #7 Jul 22 2025 11:19:41
%S A188712 55,1681,54049,1729531,55337580,1769780565,56585607231,1808994829500,
%T A188712 57829148027161,1848624216954643,59094629276262316,
%U A188712 1889063777872100973,60387214464117233335,1930382199629976832828,61708017083116822627729
%N A188712 Number of 8Xn binary arrays without the pattern 0 0 diagonally or vertically.
%C A188712 Row 8 of A188706
%H A188712 R. H. Hardin, <a href="/A188712/b188712.txt">Table of n, a(n) for n = 1..200</a>
%F A188712 Empirical: a(n) = 55*a(n-1) -933*a(n-2) +7094*a(n-3) -27502*a(n-4) +57434*a(n-5) -65257*a(n-6) +38535*a(n-7) -10341*a(n-8) +900*a(n-9) for n>11
%e A188712 Some solutions for 8X3
%e A188712 ..1..1..0....0..1..1....1..1..1....0..1..1....1..1..0....0..0..1....0..1..0
%e A188712 ..1..1..1....1..1..0....0..0..0....1..1..0....1..0..1....1..1..1....1..1..1
%e A188712 ..1..0..0....1..1..1....1..1..1....1..1..1....0..1..1....0..1..0....0..0..1
%e A188712 ..1..1..1....1..0..1....0..1..0....0..0..1....1..1..1....1..1..1....1..1..1
%e A188712 ..1..0..0....0..1..1....1..1..1....1..1..1....0..1..1....1..0..0....1..1..1
%e A188712 ..1..1..1....1..1..1....1..1..1....1..0..1....1..1..0....1..1..1....1..1..1
%e A188712 ..1..0..1....0..1..1....1..1..1....1..1..1....1..0..1....0..0..0....1..1..1
%e A188712 ..0..1..1....1..1..0....1..0..1....0..1..1....0..1..1....1..1..1....1..0..0
%K A188712 nonn
%O A188712 1,1
%A A188712 _R. H. Hardin_ Apr 08 2011