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Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element
1

%I #4 Nov 28 2014 12:53:46

%S 4909,297873,18077319,1096982379,66566704705,4039362762435,

%T 245114118899485,14873861407326111,902566310928490467,

%U 54768961329136851033,3323455667098397402917,201671846608424737679469

%N Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element

%C Column 3 of A250913

%H R. H. Hardin, <a href="/A250908/b250908.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 74*a(n-1) -825*a(n-2) +1101*a(n-3) -4926*a(n-4) +231*a(n-5) +1684*a(n-6) +736*a(n-7)

%e Some solutions for n=1

%e ..2..2..1..2....0..2..2..1....2..1..0..2....0..2..0..0....1..2..1..1

%e ..1..2..2..2....0..1..2..1....2..0..1..1....1..1..0..1....0..2..1..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 28 2014