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%I #5 Mar 31 2012 12:37:03
%S 16,47,47,125,240,125,335,1001,1001,335,907,4273,6537,4273,907,2470,
%T 18550,42214,42214,18550,2470,6740,81009,270148,422426,270148,81009,
%U 6740,18406,353975,1729515,4122638,4122638,1729515,353975,18406,50278,1547377
%N T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with rows and columns of determinants of all 2X2 subblocks lexicographically nondecreasing
%C Table starts
%C ....16......47......125........335..........907...........2470............6740
%C ....47.....240.....1001.......4273........18550..........81009..........353975
%C ...125....1001.....6537......42214.......270148........1729515........11096511
%C ...335....4273....42214.....422426......4122638.......40446826.......398104735
%C ...907...18550...270148....4122638.....60519533......897624021.....13302221086
%C ..2470...81009..1729515...40446826....897624021....20321241222....457771763592
%C ..6740..353975.11096511..398104735..13302221086...457771763592..15605413576718
%C .18406.1547377.71369791.3932835872.197792658833.10349816580258.534307699718747
%H R. H. Hardin, <a href="/A204800/b204800.txt">Table of n, a(n) for n = 1..219</a>
%e Some solutions for n=4 k=3
%e ..1..0..0..0....1..1..0..0....1..0..0..1....1..1..1..0....1..0..1..1
%e ..1..0..1..1....1..0..0..0....0..0..0..1....0..0..0..0....0..0..0..0
%e ..0..0..0..0....0..0..0..1....0..1..0..0....0..1..1..1....0..1..1..0
%e ..0..1..1..0....0..1..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e ..0..1..1..1....0..1..0..1....0..0..1..1....1..0..1..1....1..1..1..1
%Y Column 1 is A204609
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 19 2012