A202773 - OEIS

%I #5 Mar 31 2012 12:36:52

%S 833,2600,6176,13937,29826,60469,119735,230808,435942,813680,1496692,

%T 2731419,4944907,8896421,15931145,28413699,50511743,89578250,

%U 158512560,280048775,494090369,870801734,1533389242,2698285669,4745468937

%N Number of (n+2)X6 binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals

%C Column 4 of A202777

%H R. H. Hardin, <a href="/A202773/b202773.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +5*a(n-2) -4*a(n-3) -24*a(n-4) -6*a(n-5) +60*a(n-6) +63*a(n-7) -69*a(n-8) -177*a(n-9) -17*a(n-10) +238*a(n-11) +206*a(n-12) -152*a(n-13) -314*a(n-14) -61*a(n-15) +248*a(n-16) +191*a(n-17) -70*a(n-18) -164*a(n-19) -53*a(n-20) +62*a(n-21) +59*a(n-22) +20*a(n-23) -21*a(n-24) -26*a(n-25) -17*a(n-26) +11*a(n-27) +14*a(n-28) +5*a(n-29) -6*a(n-30) -3*a(n-31) +a(n-33)

%e Some solutions for n=3

%e ..1..1..1..1..1..1....1..1..1..1..1..0....1..1..1..1..1..1....1..1..1..1..1..1

%e ..1..1..1..1..0..1....1..1..1..0..1..0....1..1..1..1..0..0....1..1..1..1..1..1

%e ..1..1..1..1..1..0....1..1..1..1..1..1....1..1..1..1..0..1....1..1..1..1..0..0

%e ..1..0..0..1..0..0....1..0..1..0..1..0....1..0..1..0..1..0....1..1..1..0..0..1

%e ..0..1..0..1..0..1....1..0..0..1..0..1....1..0..0..1..0..1....1..1..1..1..1..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 23 2011