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Number of (n+3)X(4+3) 0..1 arrays with no 4x4 subblock diagonal sum not equal the antidiagonal sum.
1

%I #6 Jul 23 2025 15:33:17

%S 1645856,1724976,2292662,2864828,3415506,4910670,6869922,9782192,

%T 14339074,21420810,33384430,51877348,82387928,134565758,222363040,

%U 376499514,645917492,1129355382,2014646192,3644105654,6705942142

%N Number of (n+3)X(4+3) 0..1 arrays with no 4x4 subblock diagonal sum not equal the antidiagonal sum.

%C Column 4 of A258957

%H R. H. Hardin, <a href="/A258953/b258953.txt">Table of n, a(n) for n = 1..52</a>

%e Some solutions for n=1

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

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

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

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

%Y Cf. A258957

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 15 2015