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A266474 Number of 7Xn binary arrays with rows and columns lexicographically nondecreasing and column sums nonincreasing. 1

%I #4 Dec 29 2015 20:00:08

%S 8,42,303,2574,22128,175180,1231170,7652503,42460424,212971589,

%T 977395362,4147719749,16420984346,61103700814,215040758842,

%U 719522481940,2299243641848,7043942786447,20758083457211,59015575393057

%N Number of 7Xn binary arrays with rows and columns lexicographically nondecreasing and column sums nonincreasing.

%C Row 7 of A266470.

%H R. H. Hardin, <a href="/A266474/b266474.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A266474/a266474.txt">Empirical polynomial of degree 34</a>

%F Empirical polynomial of degree 34 (see link above)

%e Some solutions for n=4

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

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

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

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

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

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

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

%Y Cf. A266470.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2015

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Last modified April 16 01:40 EDT 2024. Contains 371696 sequences. (Running on oeis4.)