login
Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 0 vertically
1

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

%S 14,196,1414,11970,97580,805154,6614706,54438356,447687702,3682876386,

%T 30292582572,249180165066,2049642453502,16859642486512,

%U 138680722738530,1140735510979302,9383250687334776,77183044399764898,634878161131002558

%N Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 0 vertically

%C Row 5 of A207717

%H R. H. Hardin, <a href="/A207720/b207720.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +37*a(n-2) -3*a(n-3) -132*a(n-4) +26*a(n-5) +132*a(n-6) -59*a(n-7) -15*a(n-8) +6*a(n-9) +a(n-10)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 19 2012