A207310 - OEIS

%I #5 Mar 31 2012 12:37:16

%S 14,196,826,3641,12169,41893,154228,558557,1985288,7118528,25615229,

%T 91904787,329521585,1182693282,4244878879,15231126240,54653169406,

%U 196125671283,703788796565,2525467220941,9062451338100,32520070058673

%N Number of 7Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 0 vertically

%C Row 7 of A207305

%H R. H. Hardin, <a href="/A207310/b207310.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +16*a(n-3) +27*a(n-4) +6*a(n-5) -31*a(n-6) -106*a(n-7) -75*a(n-8) -24*a(n-9) +133*a(n-10) +134*a(n-11) +81*a(n-12) -80*a(n-13) -89*a(n-14) -60*a(n-15) +47*a(n-16) +14*a(n-17) +13*a(n-18) -22*a(n-19) +10*a(n-20) -a(n-21) +5*a(n-22) -7*a(n-23) +4*a(n-24) -a(n-25) for n>26

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 16 2012