A202431 - OEIS

%I #5 Mar 31 2012 12:36:47

%S 4680,50310,463632,4502836,42948906,412198592,3947786700,37835503602,

%T 362534238144,3473997901920,33288928492898,318987489880800,

%U 3056653256422038,29289988273883896,280667437153157392

%N Number of (n+2)X6 binary arrays avoiding patterns 000 and 001 in rows, columns and nw-to-se diagonals

%C Column 4 of A202435

%H R. H. Hardin, <a href="/A202431/b202431.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +64*a(n-2) +213*a(n-3) -199*a(n-4) -1711*a(n-5) +255*a(n-6) +8022*a(n-7) -2711*a(n-8) -25993*a(n-9) +26163*a(n-10) +41611*a(n-11) -104189*a(n-12) +72169*a(n-13) +11753*a(n-14) -44090*a(n-15) +15201*a(n-16) +10399*a(n-17) -6613*a(n-18) -2087*a(n-19) +1405*a(n-20) +609*a(n-21) -113*a(n-22) -132*a(n-23) -28*a(n-24) +2*a(n-25) +a(n-26)

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 19 2011