A188992 - OEIS

%I #5 Mar 31 2012 12:36:14

%S 2,4,4,7,16,8,12,49,64,16,20,144,295,256,32,33,400,1256,1793,1024,64,

%T 54,1089,5304,10812,10871,4096,128,88,2916,21952,68064,92532,65937,

%U 16384,256,143,7744,89744,423606,852448,791388,399911,65536,512,232,20449

%N T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 antidiagonally or horizontally

%C Table starts

%C ....2.......4........7.........12...........20.............33...............54

%C ....4......16.......49........144..........400...........1089.............2916

%C ....8......64......295.......1256.........5304..........21952............89744

%C ...16.....256.....1793......10812........68064.........423606..........2613530

%C ...32....1024....10871......92532.......852448........7844188.........72609144

%C ...64....4096....65937.....791388.....10682432......144733702.......2002277608

%C ..128...16384...399911....6768028....133744640.....2668260348......55080396536

%C ..256...65536..2425505...57879084...1674569728....49183191266....1515192856324

%C ..512..262144.14710935..494973804..20965958400...906546313088...41677443278252

%C .1024.1048576.89223345.4232940812.262498839552.16709359181770.1146393385863412

%H R. H. Hardin, <a href="/A188992/b188992.txt">Table of n, a(n) for n = 1..643</a>

%e Some solutions for 5X3

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

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

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

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

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

%Y Column 2 is Column 1 squared

%Y Row 1 is A000071(n+3)

%Y Row 2 is A188516

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Apr 15 2011