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Number of (n+1)X(4+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 12:54:26

%S 39960,6621219,1096982379,181725094746,30104106257115,

%T 4986961280614953,826125782084148708,136853637633971644347,

%U 22670782687226177355267,3755577099313037361116844,622138174177304855831638383

%N Number of (n+1)X(4+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element

%C Column 4 of A250913

%H R. H. Hardin, <a href="/A250909/b250909.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 202*a(n-1) -6346*a(n-2) +54499*a(n-3) -108047*a(n-4) +2308813*a(n-5) -8304217*a(n-6) -16011215*a(n-7) +3358369*a(n-8) +18927043*a(n-9) -60255820*a(n-10) +18024160*a(n-11) +47390528*a(n-12) -6773760*a(n-13)

%e Some solutions for n=1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 28 2014