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Number of nX5 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nondecreasing.
1

%I #4 Dec 28 2015 07:04:25

%S 6,34,173,830,3669,14921,55734,191916,612871,1827072,5118950,13561326,

%T 34161206,82219937,189887848,422385924,907900116,1891159167,

%U 3827190045,7541618443,14499264935,27245395504,50118187760,90379795961,159985071253

%N Number of nX5 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nondecreasing.

%C Column 5 of A266362.

%H R. H. Hardin, <a href="/A266359/b266359.txt">Table of n, a(n) for n = 1..31</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A266362.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 28 2015