A207562 - OEIS

%I #5 Mar 31 2012 12:37:18

%S 21,441,1889,6315,32823,138017,738515,3451393,18459985,91330863,

%T 487900273,2497699401,13360428739,69888755449,374927533581,

%U 1989044972519,10707046454737,57336073886865,309657266929019,1668728092514473

%N Number of nX6 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically

%C Column 6 of A207564

%H R. H. Hardin, <a href="/A207562/b207562.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) +21*a(n-2) -869*a(n-3) +1167*a(n-4) +25921*a(n-5) -61027*a(n-6) -461409*a(n-7) +1307303*a(n-8) +5518049*a(n-9) -16754393*a(n-10) -47155119*a(n-11) +143303719*a(n-12) +297553021*a(n-13) -858496963*a(n-14) -1406286693*a(n-15) +3688250489*a(n-16) +4984465847*a(n-17) -11481185897*a(n-18) -13149704547*a(n-19) +25930908661*a(n-20) +25469152675*a(n-21) -42215807347*a(n-22) -35539635477*a(n-23) +48785432574*a(n-24) +34851279298*a(n-25) -38943699158*a(n-26) -23230133746*a(n-27) +20520793444*a(n-28) +10043976396*a(n-29) -6608615256*a(n-30) -2624540040*a(n-31) +1127367144*a(n-32) +366164280*a(n-33) -72744480*a(n-34) -20217600*a(n-35) for n>36

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 18 2012