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A207732 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 0 1 vertically.

%I A207732 #7 Jul 22 2025 20:44:36
%S A207732 14,196,490,1225,8575,60025,211680,746496,4078944,22287841,90968949,
%T A207732 371294361,1833291198,9052000164,39384126042,171355430401,
%U A207732 810254854919,3831293402161,17143608557024,76711252182016,355989323916384
%N A207732 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 0 1 vertically.
%C A207732 Row 5 of A207729
%H A207732 R. H. Hardin, <a href="/A207732/b207732.txt">Table of n, a(n) for n = 1..210</a>
%F A207732 Empirical: a(n) = a(n-1) +21*a(n-3) +285*a(n-4) +40*a(n-5) +116*a(n-6) -1248*a(n-7) -17520*a(n-8) -5440*a(n-9) +3712*a(n-10) +13824*a(n-11) +291840*a(n-12) +102400*a(n-13) +131072*a(n-15) -1048576*a(n-16)
%e A207732 Some solutions for n=4
%e A207732 ..0..1..1..1....1..0..1..1....1..1..1..0....0..0..1..1....0..1..1..1
%e A207732 ..1..0..1..1....0..1..1..1....1..1..0..1....1..0..1..1....1..0..1..1
%e A207732 ..0..0..1..1....0..0..1..1....1..1..0..0....0..0..1..1....0..0..1..1
%e A207732 ..0..0..1..1....0..0..1..1....1..1..1..0....0..0..1..1....0..1..1..1
%e A207732 ..1..0..0..1....0..1..1..1....1..0..0..1....0..0..1..1....1..0..0..1
%K A207732 nonn
%O A207732 1,1
%A A207732 _R. H. Hardin_ Feb 19 2012