cp's OEIS Frontend

A188706 T(n,k)=Number of nXk binary arrays without the pattern 0 0 diagonally or vertically.

%I A188706 #7 Jul 22 2025 11:19:26
%S A188706 2,4,3,8,8,5,16,21,21,8,32,55,90,49,13,64,144,387,304,120,21,128,377,
%T A188706 1665,1876,1141,288,34,256,987,7164,11556,10857,4084,697,55,512,2584,
%U A188706 30825,71152,103484,57665,14925,1681,89,1024,6765,132633,438048,986929
%N A188706 T(n,k)=Number of nXk binary arrays without the pattern 0 0 diagonally or vertically.
%C A188706 Table starts
%C A188706 ...2....4......8.......16.........32...........64............128
%C A188706 ...3....8.....21.......55........144..........377............987
%C A188706 ...5...21.....90......387.......1665.........7164..........30825
%C A188706 ...8...49....304.....1876......11556........71152.........438048
%C A188706 ..13..120...1141....10857.....103484.......986929........9413801
%C A188706 ..21..288...4084....57665.....813309.....11462588......161506225
%C A188706 ..34..697..14925...318732....6814290....145764780.....3118943536
%C A188706 ..55.1681..54049..1729531...55337580...1769780565....56585607231
%C A188706 ..89.4060.196508..9464035..456131965..21988745988..1060220669261
%C A188706 .144.9800.713225.51591068.3733374889.270110390804.19540000913840
%H A188706 R. H. Hardin, <a href="/A188706/b188706.txt">Table of n, a(n) for n = 1..840</a>
%e A188706 Some solutions for 5X3
%e A188706 ..1..1..0....1..0..0....1..0..0....1..1..1....0..1..1....1..1..1....1..0..0
%e A188706 ..1..0..1....1..1..1....1..1..1....0..0..1....1..1..1....1..1..1....1..1..1
%e A188706 ..0..1..1....0..1..1....1..0..0....1..1..1....1..1..0....1..0..1....1..0..1
%e A188706 ..1..1..0....1..1..0....0..1..1....1..1..1....0..1..1....1..1..1....1..1..1
%e A188706 ..0..0..1....0..1..1....1..1..1....1..1..1....1..1..1....0..1..0....1..1..0
%Y A188706 Diagonal is A067964
%Y A188706 Column 1 is A000045(n+2)
%Y A188706 Column 2 is |A077921(n+1)|
%Y A188706 Row 2 is A001906(n+1)
%K A188706 nonn,tabl
%O A188706 1,1
%A A188706 _R. H. Hardin_ Apr 08 2011