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Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally and vertically
2

%I #4 Apr 12 2015 08:50:23

%S 512,2444,9374,34698,113474,330684,914320,2433544,6176662,15093057,

%T 35958908,83879816,191591614,430057344,952623906,2086634822,

%U 4522903834,9718017421,20736059936,43980645588,92782630758,194864839161

%N Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally and vertically

%C Column 1 of A256904

%H R. H. Hardin, <a href="/A256897/b256897.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A256897/a256897.txt">Empirical recurrence of order 68</a>

%F Empirical recurrence of order 68 (see link above)

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A256904

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 12 2015