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

%I #7 Jan 25 2022 21:07:35

%S 11220,20864,47776,164576,433296,1379208,3629540,13289252,35756268,

%T 128976744,346446144,1333284060,3588481008,13880081488,37224984364,

%U 148837476180,398218723908,1607711747604,4285914451420,17630641010960

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

%C Column 8 of A185798.

%H R. H. Hardin, <a href="/A185797/b185797.txt">Table of n, a(n) for n = 1..138</a>

%e Some solutions for 3 X 9

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

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

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

%Y Cf. A185798.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 04 2011