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A189064 T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 antidiagonally or horizontally.

%I A189064 #7 Jul 22 2025 11:32:20
%S A189064 2,4,4,7,16,8,12,49,64,16,21,144,316,256,32,37,441,1404,2032,1024,64,
%T A189064 65,1369,6768,13452,13045,4096,128,114,4225,33893,99721,128628,83737,
%U A189064 16384,256,200,12996,167473,795741,1492864,1228512,537496,65536,512,351,40000
%N A189064 T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 antidiagonally or horizontally.
%C A189064 Table starts
%C A189064 ....2.......4.........7..........12............21..............37
%C A189064 ....4......16........49.........144...........441............1369
%C A189064 ....8......64.......316........1404..........6768...........33893
%C A189064 ...16.....256......2032.......13452.........99721..........795741
%C A189064 ...32....1024.....13045......128628.......1492864........19468046
%C A189064 ...64....4096.....83737.....1228512......22289912.......477128662
%C A189064 ..128...16384....537496....11733712.....333124565.....11711612310
%C A189064 ..256...65536...3450100...112065936....4978704008....287687887135
%C A189064 ..512..262144..22145617..1070316016...74410715409...7067105036501
%C A189064 .1024.1048576.142149013.10222334864.1112149145053.173620295413143
%H A189064 R. H. Hardin, <a href="/A189064/b189064.txt">Table of n, a(n) for n = 1..573</a>
%e A189064 Some solutions for 5X3
%e A189064 ..1..0..0....0..0..1....1..0..1....0..0..1....0..0..1....1..1..1....1..1..0
%e A189064 ..0..0..1....1..1..1....1..0..0....0..0..0....0..0..1....0..0..1....0..1..1
%e A189064 ..1..1..1....0..1..1....0..0..1....0..0..0....1..1..0....1..0..0....1..1..1
%e A189064 ..1..1..1....1..1..1....0..0..1....0..0..0....1..0..0....0..0..1....0..0..1
%e A189064 ..1..0..0....0..0..1....0..1..1....1..0..1....0..0..0....1..1..0....0..1..1
%Y A189064 Column 2 is Column 1 squared
%Y A189064 Column 3 is A188868
%Y A189064 Row 1 is A005251(n+3)
%Y A189064 Row 2 is A188501
%K A189064 nonn,tabl
%O A189064 1,1
%A A189064 _R. H. Hardin_ Apr 16 2011