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A207705 Number of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically.

%I A207705 #7 Jul 22 2025 20:41:59
%S A207705 8,64,216,729,3321,15129,61254,248004,1050282,4447881,18510693,
%T A207705 77035729,322765398,1352327076,5651244450,23616005625,98788590675,
%U A207705 413244551281,1727977178912,7225516033024,30217971381472,126375166872241
%N A207705 Number of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically.
%C A207705 Row 4 of A207703
%H A207705 R. H. Hardin, <a href="/A207705/b207705.txt">Table of n, a(n) for n = 1..210</a>
%F A207705 Empirical: a(n) = 3*a(n-1) +14*a(n-3) +48*a(n-4) -65*a(n-5) -41*a(n-6) -103*a(n-7) -351*a(n-8) +353*a(n-9) +286*a(n-10) +103*a(n-11) +629*a(n-12) -480*a(n-13) -280*a(n-14) -16*a(n-15) -367*a(n-16) +216*a(n-17) +46*a(n-18) +2*a(n-19) +53*a(n-20) -28*a(n-21) -2*a(n-22) -2*a(n-24) +a(n-25)
%e A207705 Some solutions for n=4
%e A207705 ..1..0..1..1....0..0..1..1....1..1..1..0....1..1..0..1....0..1..1..1
%e A207705 ..1..1..1..1....0..0..1..1....0..1..1..0....1..0..1..1....0..0..1..1
%e A207705 ..1..1..1..1....0..0..1..1....0..1..1..0....1..0..0..1....0..1..1..1
%e A207705 ..1..1..1..1....0..0..1..1....0..1..1..0....1..0..0..1....0..1..1..1
%K A207705 nonn
%O A207705 1,1
%A A207705 _R. H. Hardin_ Feb 19 2012