login
Number of (4*n) X n binary arrays with nonzero rows in decreasing order and 4 ones in every column.
3

%I #13 Dec 17 2018 02:30:31

%S 1,0,0,1,278,67198,24537905,13744869502,11385203921707,

%T 13429702800066408,21828741452174445770,47540906064229854124913,

%U 135469436416591290078176485,494882516747849393466094870718,2277287830010010200588821272208162,13000224127787800362702159372817442122

%N Number of (4*n) X n binary arrays with nonzero rows in decreasing order and 4 ones in every column.

%H Andrew Howroyd, <a href="/A188446/b188446.txt">Table of n, a(n) for n = 0..50</a>

%e Some solutions for 16 X 4:

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

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

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

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

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

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

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

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

%e 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

%e 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

%e 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

%e 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

%Y Row 4 of A188445.

%K nonn

%O 0,5

%A _R. H. Hardin_, Mar 31 2011

%E a(0)=1 prepended and terms a(9) and beyond from _Andrew Howroyd_, Dec 15 2018