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Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally
1

%I #4 Mar 05 2015 14:09:07

%S 30182,72884,111064,118925,124928,177281,306248,517386,766616,1335701,

%T 2994308,5759584,8957268,16979505,42027004,83952976,132161916,

%U 256397865,651345844,1313021560,2072742516,4044259761,10340350348,20890761568

%N Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Column 4 of A255756

%H R. H. Hardin, <a href="/A255752/b255752.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-2) +21*a(n-4) -42*a(n-5) +21*a(n-6) -84*a(n-8) +168*a(n-9) -84*a(n-10) +64*a(n-12) -128*a(n-13) +64*a(n-14) for n>26

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A255756

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 05 2015