cp's OEIS Frontend

A188695 T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 diagonally, vertically, antidiagonally or horizontally.

%I A188695 #7 Jul 22 2025 11:18:51
%S A188695 2,4,4,7,16,7,12,49,49,12,21,144,218,144,21,37,441,857,857,441,37,65,
%T A188695 1369,3609,4008,3609,1369,65,114,4225,15942,20662,20662,15942,4225,
%U A188695 114,200,12996,69852,120839,139307,120839,69852,12996,200,351,40000,302053
%N A188695 T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 diagonally, vertically, antidiagonally or horizontally.
%C A188695 Table starts
%C A188695 ...2......4.......7........12.........21...........37.............65
%C A188695 ...4.....16......49.......144........441.........1369...........4225
%C A188695 ...7.....49.....218.......857.......3609........15942..........69852
%C A188695 ..12....144.....857......4008......20662.......120839.........708519
%C A188695 ..21....441....3609.....20662.....139307......1181340........9908740
%C A188695 ..37...1369...15942....120839....1181340.....15547072......196218615
%C A188695 ..65...4225...69852....708519....9908740....196218615.....3647921173
%C A188695 .114..12996..302053...3984317...75877068...2192313402....58576420100
%C A188695 .200..40000.1305379..22096751..567455273..24054473035...923989193674
%C A188695 .351.123201.5658937.123685638.4366586742.276006561506.15401563228402
%H A188695 R. H. Hardin, <a href="/A188695/b188695.txt">Table of n, a(n) for n = 1..263</a>
%e A188695 Some solutions for 6X4
%e A188695 ..0..0..0..0....0..0..0..1....1..1..0..1....1..1..1..0....0..1..1..1
%e A188695 ..1..0..0..0....1..1..0..0....0..0..0..0....1..0..0..0....0..0..1..1
%e A188695 ..1..0..0..0....1..1..1..0....1..0..0..1....1..0..0..0....0..0..1..1
%e A188695 ..0..0..0..0....1..1..1..1....1..0..0..1....1..0..0..0....1..0..0..1
%e A188695 ..1..0..0..0....1..1..0..1....1..0..1..1....1..0..0..0....1..0..0..1
%e A188695 ..1..0..0..0....1..1..0..0....1..0..1..1....1..0..0..1....1..0..0..0
%Y A188695 Column 1 is A005251(n+3)
%Y A188695 Column 2 is A188501
%K A188695 nonn,tabl
%O A188695 1,1
%A A188695 _R. H. Hardin_ Apr 08 2011