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Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element
1

%I #4 Nov 28 2014 21:01:28

%S 2911,134456,6204344,286298344,13211127617,609622239024,

%T 28130774228952,1298083303266168,59899533694064023,

%U 2764039970645608136,127545516428291433088,5885536726506369363688,271585732913285543900561

%N Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element

%C Column 5 of A250956

%H R. H. Hardin, <a href="/A250953/b250953.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 57*a(n-1) -516*a(n-2) +637*a(n-3) +2799*a(n-4) -3639*a(n-5) -100*a(n-6) +429*a(n-7)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 28 2014