cp's OEIS Frontend

A188607 T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally.

%I A188607 #7 Jul 22 2025 11:17:26
%S A188607 2,4,4,7,16,7,12,49,49,12,20,144,211,144,20,33,400,847,883,400,33,54,
%T A188607 1089,3282,4914,3354,1089,54,88,2916,12405,26723,24711,12529,2916,88,
%U A188607 143,7744,45860,140617,181626,123984,45705,7744,143,232,20449,167525,721597
%N A188607 T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally.
%C A188607 Table starts
%C A188607 ...2.....4.......7.......12.........20..........33............54.............88
%C A188607 ...4....16......49......144........400........1089..........2916...........7744
%C A188607 ...7....49.....211......847.......3282.......12405.........45860.........167525
%C A188607 ..12...144.....883.....4914......26723......140617........721597........3648942
%C A188607 ..20...400....3354....24711.....181626.....1288734.......8951764.......61078115
%C A188607 ..33..1089...12529...123984....1238275....11895711.....111888105.....1031943536
%C A188607 ..54..2916...45705...602049....8077216...104225541....1318303126....16339159241
%C A188607 ..88..7744..165506..2925040...52884231...919272280...15651179908...260970703443
%C A188607 .143.20449..595370.14100232..342253692..7996186202..182869043451..4096182114761
%C A188607 .232.53824.2135861.67998376.2219051847.69774651726.2144672066828.64567134345340
%H A188607 R. H. Hardin, <a href="/A188607/b188607.txt">Table of n, a(n) for n = 1..312</a>
%e A188607 Some solutions for 5X3
%e A188607 ..0..0..1....0..0..0....0..1..0....0..1..1....1..0..0....0..0..0....0..0..0
%e A188607 ..0..1..0....0..0..0....0..0..1....0..0..0....0..0..0....0..1..0....1..0..1
%e A188607 ..1..0..0....1..0..0....0..0..0....1..0..1....1..1..1....1..0..0....0..0..0
%e A188607 ..0..0..1....1..1..1....1..1..1....1..0..0....0..0..0....0..0..1....1..1..1
%e A188607 ..0..1..0....1..1..1....1..0..1....1..0..0....0..1..1....0..0..1....0..0..0
%Y A188607 Row 1 and Column 1 are A000071(n+3)
%Y A188607 Row 2 and Column 2 are A188516
%K A188607 nonn,tabl
%O A188607 1,1
%A A188607 _R. H. Hardin_ Apr 05 2011