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Number of n X 7 0..1 arrays with no more than floor(n X 7/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..1 order.
1

%I #6 Apr 16 2023 20:46:59

%S 12,121,915,16892,160614,3329090,34323408,762299807,8239136941,

%T 188448398522,2082442612871,48247276348290,539302865240417,

%U 12584194182415994,141638011539902610,3320361359110272916

%N Number of n X 7 0..1 arrays with no more than floor(n X 7/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..1 order.

%C Column 7 of A222635.

%H R. H. Hardin, <a href="/A222634/b222634.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A222635.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 26 2013