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Number of (n+2)X(6+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally.
1

%I #6 Jul 23 2025 15:19:08

%S 639228,4613955,57766489,916707473,13584142368,209357338632,

%T 3329338589296,52183619444529,815552990856702,12820383787282287,

%U 201368323746925262,3158998987149180769,49589358799802401415

%N Number of (n+2)X(6+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

%C Column 6 of A257189

%H R. H. Hardin, <a href="/A257187/b257187.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=1

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

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

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

%Y Cf. A257189

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 17 2015