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%I #4 Oct 28 2015 11:49:07
%S 4,4,14,17,93,379,2909,20374,121878,785046,3811314,20729459,86398810,
%T 401508982,1487808602,6052744740,20393912111,74234335758,230979488062,
%U 765576270536,2224840569660,6807977828585,18640043440258,53237097603882
%N Number of (n+1)X(6+1) 0..1 arrays with each row and column divisible by 3, read as a binary number with top and left being the most significant bits, and rows and columns lexicographically nondecreasing.
%C Column 6 of A263873.
%H R. H. Hardin, <a href="/A263871/b263871.txt">Table of n, a(n) for n = 1..210</a>
%H R. H. Hardin, <a href="/A263871/a263871.txt">Empirical recurrence of order 79</a>
%F Empirical recurrence of order 79 (see link above)
%e Some solutions for n=4
%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..1..1..1..1....0..0..0..0..0..1..1
%e ..0..0..0..0..0..0..0....0..0..0..1..1..1..1....0..0..0..0..0..1..1
%e ..0..1..1..1..1..1..1....0..1..1..0..0..1..1....0..0..0..0..0..1..1
%e ..0..1..1..1..1..1..1....0..1..1..0..0..1..1....0..0..0..0..0..1..1
%Y Cf. A263873.
%K nonn
%O 1,1
%A _R. H. Hardin_, Oct 28 2015