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Number of (n+1) X 9 binary arrays with no 2 X 2 subblock diagonal sum less antidiagonal sum equal to any horizontal or vertical neighbor 2 X 2 subblock diagonal sum less antidiagonal sum.
1

%I #7 May 04 2021 14:22:09

%S 52378,1514138,50707346,1675514684,58406620364,2065646009310,

%T 73006349720400,2594103702923620,92296881933749596,

%U 3283815163241221908,116881968695751606560,4160746958216316764578,148113678875510444112726

%N Number of (n+1) X 9 binary arrays with no 2 X 2 subblock diagonal sum less antidiagonal sum equal to any horizontal or vertical neighbor 2 X 2 subblock diagonal sum less antidiagonal sum.

%C Column 8 of A186850.

%H R. H. Hardin, <a href="/A186849/b186849.txt">Table of n, a(n) for n = 1..43</a>

%e Some solutions for 3 X 9

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

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

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

%Y Cf. A186850.

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 27 2011