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%I #5 Mar 31 2012 12:36:52
%S 2981,10322,25360,60469,134218,283573,578203,1150458,2228326,4256353,
%T 7986317,14841712,27263555,49725973,90040279,162173223,290679147,
%U 519193234,924131720,1641077307,2907484973,5142651749,9082355738
%N Number of (n+2)X8 binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals
%C Column 6 of A202777
%H R. H. Hardin, <a href="/A202775/b202775.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +9*a(n-2) +a(n-3) -45*a(n-4) -49*a(n-5) +119*a(n-6) +270*a(n-7) -78*a(n-8) -760*a(n-9) -509*a(n-10) +1133*a(n-11) +1936*a(n-12) -374*a(n-13) -3423*a(n-14) -2083*a(n-15) +3171*a(n-16) +4972*a(n-17) -359*a(n-18) -5812*a(n-19) -3392*a(n-20) +3601*a(n-21) +5328*a(n-22) +22*a(n-23) -4326*a(n-24) -2481*a(n-25) +1715*a(n-26) +2611*a(n-27) +402*a(n-28) -1301*a(n-29) -990*a(n-30) +54*a(n-31) +554*a(n-32) +388*a(n-33) -18*a(n-34) -259*a(n-35) -185*a(n-36) +42*a(n-37) +131*a(n-38) +51*a(n-39) -40*a(n-40) -38*a(n-41) -2*a(n-42) +12*a(n-43) +4*a(n-44) -a(n-45) -a(n-46)
%e Some solutions for n=3
%e ..1..1..1..1..1..1..1..1....1..1..1..1..1..1..1..0....1..1..1..1..1..1..1..0
%e ..1..1..1..1..1..0..1..0....1..1..1..0..1..0..1..0....1..1..1..1..1..1..1..0
%e ..1..1..1..1..1..1..1..1....1..1..1..1..1..1..1..1....1..1..1..1..1..1..0..1
%e ..1..1..1..0..1..0..1..0....1..0..1..0..1..0..1..0....1..0..0..1..0..1..0..0
%e ..1..1..1..1..1..0..1..0....1..1..1..1..0..1..0..0....0..1..0..1..0..0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Dec 23 2011
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