A223777 - OEIS

%I #4 Mar 27 2013 05:18:14

%S 2,4,4,7,12,7,11,28,28,11,16,56,78,56,16,22,101,180,180,101,22,29,169,

%T 371,461,371,169,29,37,267,707,1040,1040,707,267,37,46,403,1269,2164,

%U 2516,2164,1269,403,46,56,586,2170,4246,5573,5573,4246,2170,586,56,67

%N T(n,k)=Number of nXk 0..1 arrays with rows and columns unimodal and antidiagonals nondecreasing

%C Table starts

%C ..2...4....7....11....16.....22.....29......37......46......56.......67

%C ..4..12...28....56...101....169....267.....403.....586.....826.....1134

%C ..7..28...78...180...371....707...1269....2170....3563....5650.....8692

%C .11..56..180...461..1040...2164...4246....7950...14308...24877....41945

%C .16.101..371..1040..2516...5573..11635...23230...44703...83305...150815

%C .22.169..707..2164..5573..12975..28346...59231..119555..234348...447489

%C .29.267.1269..4246.11635..28346..64256..138913..290180..589799..1170809

%C .37.403.2170..7950.23230..59231.138913..308895..662370.1382382..2822162

%C .46.586.3563.14308.44703.119555.290180..662370.1451996.3093428..6448124

%C .56.826.5650.24877.83305.234348.589799.1382382.3093428.6707709.14215457

%H R. H. Hardin, <a href="/A223777/b223777.txt">Table of n, a(n) for n = 1..420</a>

%F Empirical: columns k=1..7 are polynomials of degree 2*k for n> 0,0,0,1,2,3,4

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A000124

%Y Column 2 is A223764

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 27 2013