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

%I #4 Nov 28 2014 18:07:57

%S 344,4148,50722,628146,7811640,97205912,1209466635,15047023115,

%T 187194478151,2328806913892,28971725729101,360425582996318,

%U 4483910822941575,55782546828291714,693968418758619695

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

%C Column 2 of A250927

%H R. H. Hardin, <a href="/A250921/b250921.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 27*a(n-1) -280*a(n-2) +1630*a(n-3) -6022*a(n-4) +14885*a(n-5) -25640*a(n-6) +31686*a(n-7) -28463*a(n-8) +18548*a(n-9) -8602*a(n-10) +2711*a(n-11) -526*a(n-12) +48*a(n-13)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 28 2014