A253978 - OEIS

%I #4 Jan 21 2015 17:45:19

%S 512,3372,21304,136868,881432,5659548,36317408,233116252,1496407920,

%T 9605229252,61654061624,395747083364,2540236192136,16305351878348,

%U 104661317077520,671803480591468,4312194181808480,27679252937604244

%N Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal maximum nondecreasing horizontally and vertically

%C Column 1 of A253985

%H R. H. Hardin, <a href="/A253978/b253978.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) -6*a(n-2) +18*a(n-3) -3*a(n-4) -123*a(n-5) +14*a(n-6) -74*a(n-7) +60*a(n-8) +396*a(n-9) +120*a(n-10) +24*a(n-11) +32*a(n-12) -32*a(n-13)

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 21 2015