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A186612 Number of (n+5) X 7 binary arrays with every 6 X 6 subblock commuting with each horizontal and vertical neighbor 6 X 6 subblock. 1

%I

%S 78654,3201,5072,25852,137138,451621,955892,1448220,1759720,1877180,

%T 1901280,1907684,1913192,1918708,1924488,1935913,1995810,2261835,

%U 3001848,4341477,6086182,7974728,9935846,12109496,14762642,18020920,21690054

%N Number of (n+5) X 7 binary arrays with every 6 X 6 subblock commuting with each horizontal and vertical neighbor 6 X 6 subblock.

%C Column 2 of A186619.

%H R. H. Hardin, <a href="/A186612/b186612.txt">Table of n, a(n) for n = 1..142</a>

%F Empirical: a(n) = a(n-1)+a(n-4)-a(n-5)+a(n-6)-a(n-7)-a(n-10)+a(n-11)+a(n-12)-a(n-16) for n>25.

%e Some solutions for 9 X 7

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

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

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

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

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

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

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

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

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

%Y Cf. A186619.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 24 2011

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Last modified January 27 06:42 EST 2023. Contains 359837 sequences. (Running on oeis4.)