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A207722 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 0 vertically.

%I A207722 #7 Jul 22 2025 20:43:25
%S A207722 35,1225,20265,383845,7070805,131365535,2433018665,45118588165,
%T A207722 836245602255,15502908395345,287374205431845,5327241881287515,
%U A207722 98752480429363705,1830617909878465155,33934818950365745265
%N A207722 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 0 vertically.
%C A207722 Row 7 of A207717
%H A207722 R. H. Hardin, <a href="/A207722/b207722.txt">Table of n, a(n) for n = 1..210</a>
%F A207722 Empirical: a(n) = 9*a(n-1) +204*a(n-2) -218*a(n-3) -5837*a(n-4) +7253*a(n-5) +53229*a(n-6) -91405*a(n-7) -159544*a(n-8) +385275*a(n-9) +60956*a(n-10) -516325*a(n-11) +117854*a(n-12) +297983*a(n-13) -97139*a(n-14) -89135*a(n-15) +26027*a(n-16) +14356*a(n-17) -2512*a(n-18) -1087*a(n-19) +37*a(n-20) +20*a(n-21)
%e A207722 Some solutions for n=4
%e A207722 ..0..1..1..0....1..0..1..0....1..1..0..0....0..1..1..1....1..0..1..0
%e A207722 ..1..1..0..1....1..1..0..1....0..1..0..0....1..1..0..1....0..1..0..1
%e A207722 ..0..1..1..1....0..1..1..1....1..1..0..0....1..1..1..1....1..1..1..0
%e A207722 ..1..0..1..1....1..1..1..1....0..1..0..0....1..0..1..0....0..1..0..1
%e A207722 ..0..1..0..1....1..0..1..0....1..1..0..0....1..1..0..1....1..0..1..1
%e A207722 ..1..0..1..1....0..1..0..1....1..1..0..0....1..1..1..1....1..1..1..1
%e A207722 ..0..1..1..0....1..1..1..1....0..1..0..0....1..0..1..1....1..0..1..0
%K A207722 nonn
%O A207722 1,1
%A A207722 _R. H. Hardin_ Feb 19 2012