A207585 - OEIS

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

%S 10,100,144,432,1014,2232,5000,11220,25392,54436,120350,264846,571576,

%T 1256072,2715892,5908344,12871320,27788516,60537606,131084800,

%U 283976596,617015956,1334446520,2896207628,6276299562,13590377602,29485253424

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

%C Column 4 of A207589

%H R. H. Hardin, <a href="/A207585/b207585.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-2) +12*a(n-3) -3*a(n-4) -12*a(n-5) -61*a(n-6) -4*a(n-7) -a(n-8) +197*a(n-9) +12*a(n-10) +109*a(n-11) -375*a(n-12) +7*a(n-13) -346*a(n-14) +564*a(n-15) -75*a(n-16) +480*a(n-17) -607*a(n-18) +105*a(n-19) -355*a(n-20) +466*a(n-21) -36*a(n-22) +101*a(n-23) -288*a(n-24) -9*a(n-25) +21*a(n-26) +129*a(n-27) +a(n-28) -18*a(n-29) -42*a(n-30) +2*a(n-32) +9*a(n-33) -a(n-36) for n>38

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 19 2012