A266544 - OEIS

%I #4 Dec 31 2015 07:05:50

%S 2,4,8,16,36,58,110,196,363,695,1157,2023,3446,5755,9485,14901,23156,

%T 35568,53350,79575,114919,165223,233650,327246,453231,618603,836533,

%U 1122433,1490044,1967385,2565448,3329153,4284884,5482977,6970961,8800503

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

%C Column 5 of A266547.

%H R. H. Hardin, <a href="/A266544/b266544.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A266547.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 31 2015