cp's OEIS Frontend

A189696 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 diagonally, vertically or antidiagonally.

%I A189696 #7 Jul 22 2025 11:53:22
%S A189696 2,4,4,8,16,7,16,64,49,12,32,256,292,144,20,64,1024,1723,1298,400,33,
%T A189696 128,4096,10327,11637,5172,1089,54,256,16384,61996,107720,65297,20316,
%U A189696 2916,88,512,65536,371641,997264,862652,370045,77752,7744,143,1024,262144
%N A189696 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 diagonally, vertically or antidiagonally.
%C A189696 Table starts
%C A189696 ...2.....4.......8........16..........32............64.............128
%C A189696 ...4....16......64.......256........1024..........4096...........16384
%C A189696 ...7....49.....292......1723.......10327.........61996..........371641
%C A189696 ..12...144....1298.....11637......107720........997264.........9205575
%C A189696 ..20...400....5172.....65297......862652......11451149.......151788273
%C A189696 ..33..1089...20316....370045.....7174919.....140346362......2748122586
%C A189696 ..54..2916...77752...1999150....55423132....1553640701.....43645304766
%C A189696 ..88..7744..295720..10867960...437257670...17872674996....733660344149
%C A189696 .143.20449.1117080..58328512..3370409239..198287096355..11722251157012
%C A189696 .232.53824.4209924.313915268.26229648516.2240961706438.192737455311869
%H A189696 R. H. Hardin, <a href="/A189696/b189696.txt">Table of n, a(n) for n = 1..340</a>
%e A189696 Some solutions for 5X3
%e A189696 ..1..0..0....1..0..0....1..0..0....0..1..0....1..0..0....0..0..0....1..0..1
%e A189696 ..1..1..1....1..1..1....1..1..1....0..0..1....1..1..1....1..1..1....1..0..1
%e A189696 ..1..1..1....1..0..0....0..1..0....0..1..0....0..0..1....1..1..1....0..0..1
%e A189696 ..1..0..0....1..1..1....1..1..1....0..1..1....1..1..0....0..1..1....1..0..0
%e A189696 ..1..0..1....0..1..0....1..1..1....0..0..0....0..0..1....1..1..0....0..0..0
%Y A189696 Column 1 is A000071(n+3)
%Y A189696 Column 2 is A188516
%Y A189696 Row 3 is A188748
%K A189696 nonn,tabl
%O A189696 1,1
%A A189696 _R. H. Hardin_ Apr 25 2011