cp's OEIS Frontend

A188851 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally.

%I A188851 #7 Jul 22 2025 11:25:17
%S A188851 2,4,4,7,16,7,12,49,49,12,20,144,219,144,20,33,400,908,958,400,33,54,
%T A188851 1089,3642,5711,3860,1089,54,88,2916,14265,33037,32204,15358,2916,88,
%U A188851 143,7744,54914,185351,262588,181557,59939,7744,143,232,20449,209116,1020454
%N A188851 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically, antidiagonally or horizontally.
%C A188851 Table starts
%C A188851 ...2.....4.......7........12.........20...........33.............54
%C A188851 ...4....16......49.......144........400.........1089...........2916
%C A188851 ...7....49.....219.......908.......3642........14265..........54914
%C A188851 ..12...144.....958......5711......33037.......185351........1020454
%C A188851 ..20...400....3860.....32204.....262588......2065977.......16000078
%C A188851 ..33..1089...15358....181557....2092409.....23131221......251306086
%C A188851 ..54..2916...59939...1001368...16242526....251417066.....3821933610
%C A188851 ..88..7744..232747...5521489..126202999...2738402462....58235424734
%C A188851 .143.20449..899307..30306759..975352031..29645845119...881525407714
%C A188851 .232.53824.3468816.166323490.7539816897.321142446865.13352533241696
%H A188851 R. H. Hardin, <a href="/A188851/b188851.txt">Table of n, a(n) for n = 1..479</a>
%e A188851 Some solutions for 5X3
%e A188851 ..1..1..1....1..1..0....0..1..0....0..1..1....0..1..1....1..0..1....0..1..1
%e A188851 ..0..1..1....0..1..0....1..1..1....1..1..1....1..1..0....0..1..1....1..0..1
%e A188851 ..1..1..1....1..1..0....1..1..0....0..0..0....1..1..1....1..1..1....0..1..1
%e A188851 ..0..1..1....0..1..0....0..1..1....1..1..0....0..0..0....1..1..1....0..0..0
%e A188851 ..1..0..1....1..1..0....0..1..1....1..1..0....0..1..1....0..1..1....0..1..1
%Y A188851 Row 1 and Column 1 are A000071(n+3)
%Y A188851 Row 2 and Column 2 are A188516
%K A188851 nonn,tabl
%O A188851 1,1
%A A188851 _R. H. Hardin_ Apr 12 2011