A207758 - OEIS

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

%S 9,81,221,663,2245,6459,17563,48649,131269,344873,902075,2342619,

%T 6021103,15395621,39219821,99470227,251449497,634148313,1595707571,

%U 4007571389,10049914241,25169768531,62965428327,157368593823,392995561393

%N Number of nX4 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 0 1 vertically

%C Column 4 of A207762

%H R. H. Hardin, <a href="/A207758/b207758.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -14*a(n-2) +30*a(n-3) -77*a(n-4) +120*a(n-5) -153*a(n-6) +281*a(n-7) -311*a(n-8) +236*a(n-9) -422*a(n-10) +351*a(n-11) -110*a(n-12) +387*a(n-13) -284*a(n-14) -3*a(n-15) -264*a(n-16) +172*a(n-17) +52*a(n-18) +84*a(n-19) -56*a(n-20) -24*a(n-21) -16*a(n-22) +16*a(n-23) for n>24

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 19 2012