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Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of four medians of central row, central column, diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally
1

%I #4 Jan 31 2015 12:54:11

%S 12730,55667,373348,2290520,13015622,74724261,412719610,2257549280,

%T 12214911424,65273197441,346140738426,1822550628548,9537844921742,

%U 49656492435589,257361923589952,1328581649004624,6834526602246290

%N Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of four medians of central row, central column, diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Column 3 of A254512

%H R. H. Hardin, <a href="/A254507/b254507.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 31 2015