A183782 - OEIS

%I #5 Mar 31 2012 12:35:54

%S 5,13,13,33,47,33,85,161,161,85,217,567,730,567,217,557,1969,3435,

%T 3435,1969,557,1425,6887,15887,21935,15887,6887,1425,3653,24001,74148,

%U 136843,136843,74148,24001,3653,9353,83799,344483,864671,1146964,864671,344483

%N T(n,k)=Half the number of (n+1)X(k+1) binary arrays with no 2X2 subblock having exactly 2 ones

%C Table starts

%C .....5......13.......33.........85.........217...........557...........1425

%C ....13......47......161........567........1969..........6887..........24001

%C ....33.....161......730.......3435.......15887.........74148.........344483

%C ....85.....567.....3435......21935......136843........864671........5431499

%C ...217....1969....15887.....136843.....1146964.......9764363.......82573675

%C ...557....6887....74148.....864671.....9764363.....112439612.....1284649009

%C ..1425...24001...344483....5431499....82573675....1284649009....19815396763

%C ..3653...83799..1604473...34228999...701022093...14750484447...307446383061

%C ..9353..292305..7462786..215374371..5941108591..169027656900..4760294305144

%C .23965.1020103.34738575.1356329167.50402814448.1939448495087.73819487702999

%H R. H. Hardin, <a href="/A183782/b183782.txt">Table of n, a(n) for n = 1..364</a>

%e Some solutions with a(1,1)=0 for 4X3

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 07 2011