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A207727 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 0 1 vertically.

%I A207727 #7 Jul 22 2025 20:44:06
%S A207727 25,625,2209,10609,60025,277729,1247689,5890329,27426169,125776225,
%T A207727 580858201,2686867225,12388803025,57136775089,263724358681,
%U A207727 1216770043329,5612971227241,25896730187689,119479087561201,551206670239681
%N A207727 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 0 1 vertically.
%C A207727 Column 6 of A207729
%H A207727 R. H. Hardin, <a href="/A207727/b207727.txt">Table of n, a(n) for n = 1..210</a>
%F A207727 Empirical: a(n) = 6*a(n-1) -7*a(n-2) +31*a(n-3) -128*a(n-4) -30*a(n-5) -116*a(n-6) +788*a(n-7) +798*a(n-8) +678*a(n-9) -2778*a(n-10) -1872*a(n-11) -1842*a(n-12) +3336*a(n-13) +1554*a(n-14) +378*a(n-15) -2736*a(n-16) +912*a(n-17) +312*a(n-18) +1590*a(n-19) -540*a(n-20) -228*a(n-21) -222*a(n-22) +210*a(n-23) -86*a(n-24) +24*a(n-25) -38*a(n-26) +8*a(n-27) -a(n-28) -a(n-30) +a(n-31)
%e A207727 Some solutions for n=4
%e A207727 ..1..1..1..1..0..1....0..0..1..1..0..1....0..1..1..1..1..0....0..0..1..1..0..0
%e A207727 ..1..1..1..1..1..1....1..1..1..1..0..0....1..1..1..1..1..1....1..0..1..1..1..1
%e A207727 ..1..1..1..0..0..1....0..0..1..1..0..0....0..0..1..1..0..0....0..0..1..1..0..0
%e A207727 ..1..1..1..0..0..1....0..0..1..1..0..0....0..0..1..1..0..0....0..1..1..1..0..0
%K A207727 nonn
%O A207727 1,1
%A A207727 _R. H. Hardin_ Feb 19 2012