A207951 - OEIS

%I #5 Mar 31 2012 12:37:20

%S 16,256,1232,5929,18172,55696,133812,321489,662256,1364224,2526384,

%T 4678569,8011752,13719616,22123992,35676729,54856032,84345856,

%U 124764640,184552225,264364100,378691600,527969260,736091161,1002761760,1366041600

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

%C Row 5 of A207949

%H R. H. Hardin, <a href="/A207951/b207951.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +8*a(n-2) -18*a(n-3) -27*a(n-4) +72*a(n-5) +48*a(n-6) -168*a(n-7) -42*a(n-8) +252*a(n-9) -252*a(n-11) +42*a(n-12) +168*a(n-13) -48*a(n-14) -72*a(n-15) +27*a(n-16) +18*a(n-17) -8*a(n-18) -2*a(n-19) +a(n-20)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 21 2012