A207728 - OEIS

%I #5 Mar 31 2012 12:37:19

%S 40,1600,6016,33063,211680,1029231,4799749,23473944,111527152,

%T 517774120,2415619129,11251097760,52094413065,240990441237,

%U 1114766044504,5150494925352,23781871171576,109797744696883,506801727014800

%N Number of nX7 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 0 1 vertically

%C Column 7 of A207729

%H R. H. Hardin, <a href="/A207728/b207728.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -7*a(n-2) +31*a(n-3) -128*a(n-4) -30*a(n-5) -116*a(n-6) +788*a(n-7) +798*a(n-8) +678*a(n-9) -2778*a(n-10) -1872*a(n-11) -1842*a(n-12) +3336*a(n-13) +1554*a(n-14) +378*a(n-15) -2736*a(n-16) +912*a(n-17) +312*a(n-18) +1590*a(n-19) -540*a(n-20) -228*a(n-21) -222*a(n-22) +210*a(n-23) -86*a(n-24) +24*a(n-25) -38*a(n-26) +8*a(n-27) -a(n-28) -a(n-30) +a(n-31)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 19 2012