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Number of (2+2)X(n+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 12:58:26

%S 2703,12324,55667,238740,1038340,4546393,19754506,85550331,370307568,

%T 1600037880,6905546384,29753763842,128038285985,550179273386,

%U 2361021857130,10118806677168,43313794030418,185189314116533

%N Number of (2+2)X(n+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 Row 2 of A254512

%H R. H. Hardin, <a href="/A254513/b254513.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 31 2015