cp's OEIS Frontend

A189196 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically or antidiagonally.

%I A189196 #7 Jul 22 2025 11:37:00
%S A189196 2,4,4,8,16,7,16,64,49,12,32,256,316,144,20,64,1024,2032,1494,400,33,
%T A189196 128,4096,13045,15326,6446,1089,54,256,16384,83737,156564,101628,
%U A189196 27170,2916,88,512,65536,537496,1598444,1579664,657028,111778,7744,143,1024,262144
%N A189196 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically or antidiagonally.
%C A189196 Table starts
%C A189196 ...2.....4.......8........16...........32.............64..............128
%C A189196 ...4....16......64.......256.........1024...........4096............16384
%C A189196 ...7....49.....316......2032........13045..........83737...........537496
%C A189196 ..12...144....1494.....15326.......156564........1598444.........16316636
%C A189196 ..20...400....6446....101628......1579664.......24496092........379515360
%C A189196 ..33..1089...27170....657028.....15564047......367115337.......8646366042
%C A189196 ..54..2916..111778...4109278....146936454.....5218915180.....184841938568
%C A189196 ..88..7744..455376..25421672...1372985912....73539558380....3925306136096
%C A189196 .143.20449.1841116.155713446..12673978495..1021199649839...81929775932500
%C A189196 .232.53824.7415070.949556490.116484051544.14125557202206.1704770564043390
%H A189196 R. H. Hardin, <a href="/A189196/b189196.txt">Table of n, a(n) for n = 1..687</a>
%e A189196 Some solutions for 5X3
%e A189196 ..1..1..1....0..1..1....0..1..1....0..0..0....0..1..1....0..0..1....1..0..1
%e A189196 ..0..1..1....1..1..0....1..0..1....1..1..1....0..0..0....1..1..0....1..0..0
%e A189196 ..1..0..0....0..1..1....1..0..0....1..1..0....0..1..1....0..1..1....1..0..1
%e A189196 ..1..1..0....1..0..1....0..0..0....1..0..1....0..0..1....0..1..1....0..0..0
%e A189196 ..1..0..0....0..0..1....0..0..0....0..1..1....0..0..0....0..1..0....0..0..0
%Y A189196 Column 1 is A000071(n+3)
%Y A189196 Column 2 is A188516
%Y A189196 Row 3 is A188868
%K A189196 nonn,tabl
%O A189196 1,1
%A A189196 _R. H. Hardin_ Apr 18 2011