cp's OEIS Frontend

A188763 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically or horizontally.

%I A188763 #7 Jul 22 2025 11:21:53
%S A188763 2,4,4,7,16,7,12,49,49,12,20,144,240,144,20,33,400,1112,1112,400,33,
%T A188763 54,1089,4792,8024,4792,1089,54,88,2916,20129,53024,53024,20129,2916,
%U A188763 88,143,7744,82807,339927,532168,339927,82807,7744,143,232,20449,337209,2125134
%N A188763 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically or horizontally.
%C A188763 Table starts
%C A188763 ...2.....4.......7........12..........20............33..............54
%C A188763 ...4....16......49.......144.........400..........1089............2916
%C A188763 ...7....49.....240......1112........4792.........20129...........82807
%C A188763 ..12...144....1112......8024.......53024........339927.........2125134
%C A188763 ..20...400....4792.....53024......532168.......5163989........48759352
%C A188763 ..33..1089...20129....339927.....5163989......75643222......1076278662
%C A188763 ..54..2916...82807...2125134....48759352....1076278662.....23051042448
%C A188763 ..88..7744..337209..13128024...454436200...15104206828....486675087796
%C A188763 .143.20449.1363568..80418708..4196906454..209938880964..10173867472000
%C A188763 .232.53824.5492088.490332106.38563523452.2902462402332.211512633571598
%H A188763 R. H. Hardin, <a href="/A188763/b188763.txt">Table of n, a(n) for n = 1..391</a>
%e A188763 Some solutions for 5X3
%e A188763 ..0..1..1....0..0..0....0..1..1....0..1..1....1..0..1....0..1..0....0..1..0
%e A188763 ..0..0..0....1..1..1....1..1..0....1..1..1....0..1..1....1..1..1....1..0..1
%e A188763 ..0..1..1....0..1..0....1..1..1....0..1..1....1..1..1....0..0..0....1..1..1
%e A188763 ..0..1..0....1..1..1....0..0..0....0..0..0....0..1..1....0..0..0....1..1..0
%e A188763 ..0..0..0....1..0..1....0..1..1....0..0..0....1..0..0....0..0..0....0..1..1
%Y A188763 Column 1 is A000071(n+3)
%Y A188763 Column 2 is A188516
%K A188763 nonn,tabl
%O A188763 1,1
%A A188763 _R. H. Hardin_ Apr 09 2011