A208699 - OEIS

%I #5 Mar 31 2012 12:37:24

%S 10,100,358,1309,5524,24086,109599,506870,2376964,11224757,53273404,

%T 253567712,1209244939,5773573436,27587164014,131879534567,

%U 630640340412,3016276415808,14428300026213,69023041742528,330213969177428

%N Number of 4Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 0 and 1 0 1 vertically

%C Row 4 of A208698

%H R. H. Hardin, <a href="/A208699/b208699.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -19*a(n-2) -92*a(n-3) +320*a(n-4) +223*a(n-5) -1644*a(n-6) +308*a(n-7) +3927*a(n-8) -2262*a(n-9) -4540*a(n-10) +3797*a(n-11) +2137*a(n-12) -2578*a(n-13) -60*a(n-14) +622*a(n-15) -128*a(n-16) -28*a(n-17) +8*a(n-18) for n>19

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 01 2012