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A207812 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 0 1 vertically.

%I A207812 #7 Jul 22 2025 20:52:13
%S A207812 42,1764,14406,212814,2472540,31569510,388134978,4844843724,
%T A207812 60105117534,747536620446,9287588538564,115441611327546,
%U A207812 1434634623961938,17830155700946568,221591726286572670,2753968042158084066
%N A207812 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 0 1 vertically.
%C A207812 Row 7 of A207808
%H A207812 R. H. Hardin, <a href="/A207812/b207812.txt">Table of n, a(n) for n = 1..210</a>
%F A207812 Empirical: a(n) = 6*a(n-1) +111*a(n-2) -215*a(n-3) -2612*a(n-4) +4413*a(n-5) +22651*a(n-6) -38339*a(n-7) -87492*a(n-8) +141631*a(n-9) +180683*a(n-10) -251999*a(n-11) -220845*a(n-12) +230015*a(n-13) +159866*a(n-14) -110128*a(n-15) -65501*a(n-16) +27211*a(n-17) +14223*a(n-18) -3284*a(n-19) -1500*a(n-20) +176*a(n-21) +69*a(n-22) -3*a(n-23) -a(n-24)
%e A207812 Some solutions for n=4
%e A207812 ..1..0..1..0....0..1..0..1....1..0..1..0....0..1..0..1....0..1..1..0
%e A207812 ..1..1..0..0....0..1..0..1....0..1..0..1....0..1..0..0....1..0..1..0
%e A207812 ..1..1..0..0....1..1..0..0....0..1..0..1....0..1..0..0....1..0..1..1
%e A207812 ..1..0..1..0....1..1..1..0....1..0..1..0....0..1..0..0....0..1..0..1
%e A207812 ..1..0..1..1....0..1..1..1....1..0..1..0....1..0..1..1....0..1..0..1
%e A207812 ..0..1..0..1....0..1..1..1....1..0..1..1....1..0..1..1....1..1..0..1
%e A207812 ..0..1..0..0....0..1..1..1....0..1..0..1....0..1..1..1....1..1..1..0
%K A207812 nonn
%O A207812 1,1
%A A207812 _R. H. Hardin_ Feb 20 2012