|
%I #5 Mar 31 2012 12:37:18
%S 13,169,360,1030,2310,5704,14090,34245,81936,201951,490844,1183972,
%T 2888722,7041194,17067104,41434930,100989744,245384870,595577764,
%U 1448769445,3524256548,8560594095,20802381058,50596076707,122988659982
%N Number of 5Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically
%C Row 5 of A207682
%H R. H. Hardin, <a href="/A207685/b207685.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 16*a(n-3) +18*a(n-4) +4*a(n-5) -102*a(n-6) -154*a(n-7) -84*a(n-8) +386*a(n-9) +535*a(n-10) +320*a(n-11) -963*a(n-12) -846*a(n-13) -237*a(n-14) +1978*a(n-15) -46*a(n-16) -1602*a(n-17) -2347*a(n-18) +2876*a(n-19) +3441*a(n-20) +210*a(n-21) -4150*a(n-22) -3538*a(n-23) +3295*a(n-24) +3502*a(n-25) +1931*a(n-26) -4582*a(n-27) -1827*a(n-28) -1482*a(n-29) +3608*a(n-30) -524*a(n-31) +1647*a(n-32) -1776*a(n-33) +1009*a(n-34) -662*a(n-35) +340*a(n-36) -342*a(n-37) +86*a(n-38) +8*a(n-39) +46*a(n-40) +3*a(n-42) for n>44
%e Some solutions for n=4
%e ..0..0..1..0....0..1..0..0....1..1..0..0....0..0..1..0....0..0..1..0
%e ..1..1..0..0....0..1..1..1....0..1..1..0....0..1..1..1....0..1..0..0
%e ..1..1..1..0....0..0..1..0....0..0..1..0....0..1..0..0....0..1..1..0
%e ..0..0..1..0....0..1..0..0....0..1..0..0....0..0..1..1....0..0..1..0
%e ..1..1..0..0....0..0..1..0....0..0..1..0....0..0..1..0....0..1..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 19 2012
| 