cp's OEIS Frontend

A189905 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 1 diagonally, vertically, antidiagonally or horizontally.

%I A189905 #7 Jul 22 2025 11:56:07
%S A189905 2,4,4,8,16,8,15,64,64,15,28,225,512,225,28,52,784,3375,3375,784,52,
%T A189905 96,2704,21952,35656,21952,2704,96,177,9216,140608,372850,377517,
%U A189905 140608,9216,177,326,31329,884736,3833322,6442436,3810503,884736,31329,326,600
%N A189905 T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 1 diagonally, vertically, antidiagonally or horizontally.
%C A189905 Table starts
%C A189905 ...2......4.........8..........15............28..............52
%C A189905 ...4.....16........64.........225...........784............2704
%C A189905 ...8.....64.......512........3375.........21952..........140608
%C A189905 ..15....225......3375.......35656........372850.........3833322
%C A189905 ..28....784.....21952......377517.......6442436.......109264923
%C A189905 ..52...2704....140608.....3810503.....101895401......2719427244
%C A189905 ..96...9216....884736....36890502....1518596226.....63149685928
%C A189905 .177..31329...5545233...354894796...22333076803...1435483321366
%C A189905 .326.106276..34645976..3368920072..319934642768..31396505039678
%C A189905 .600.360000.216000000.31765314572.4537262993168.678724157124848
%H A189905 R. H. Hardin, <a href="/A189905/b189905.txt">Table of n, a(n) for n = 1..144</a>
%e A189905 Some solutions for 6X4
%e A189905 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e A189905 ..0..0..0..1....0..1..1..0....1..1..0..0....0..1..0..0....0..0..0..0
%e A189905 ..0..0..0..0....0..1..0..1....0..0..1..0....0..0..0..0....0..0..0..0
%e A189905 ..0..0..0..0....1..0..1..0....1..0..0..0....0..1..1..0....1..1..0..0
%e A189905 ..1..0..1..0....0..0..0..1....0..0..1..0....0..1..0..0....0..0..0..1
%e A189905 ..0..0..0..0....1..0..1..0....0..1..0..0....1..0..0..1....1..1..1..0
%Y A189905 Row 1 and Column 1 are A008937(n+1)
%Y A189905 Row 2 and Column 2 are A189154
%Y A189905 Row 3 and Column 3 are A189155
%K A189905 nonn,tabl
%O A189905 1,1
%A A189905 _R. H. Hardin_ May 01 2011