A181039 T(n,k)=Number of nXk binary matrices with no initial bit string in any row or column divisible by 6

1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 6, 6, 6, 1, 1, 10, 18, 18, 10, 1, 1, 19, 41, 108, 41, 19, 1, 1, 33, 112, 410, 410, 112, 33, 1, 1, 61, 269, 2128, 2262, 2128, 269, 61, 1, 1, 108, 703, 8877, 18708, 18708, 8877, 703, 108, 1, 1, 197, 1729, 42883, 116416, 280212, 116416, 42883

Offset

1,5

Comments

Table starts

.1...1....1......1........1..........1............1..............1

.1...2....3......6.......10.........19...........33.............61

.1...3....6.....18.......41........112..........269............703

.1...6...18....108......410.......2128.........8877..........42883

.1..10...41....410.....2262......18708.......116416.........877602

.1..19..112...2128....18708.....280212......2894405.......38367065

.1..33..269...8877...116416....2894405.....46080957......990192011

.1..61..703..42883...877602...38367065....990192011....36405166265

.1.108.1729.186732..5771475..426329738..17214692429..1043072889128

.1.197.4427.872119.41651270.5331905284.345022087439.35303269554487

Links

R. H. Hardin, Table of n, a(n) for n=1..264

Example

Some solutions for 5X5
..1..1..1..1..1....1..1..1..1..1....1..1..1..1..1....1..1..1..1..1
..1..0..0..0..0....1..0..1..0..0....1..1..1..0..0....1..0..0..1..1
..1..1..1..1..1....1..0..1..1..0....1..1..1..0..1....1..0..0..1..1
..1..0..1..1..1....1..0..0..1..1....1..0..1..0..0....1..0..0..1..1
..1..0..0..0..1....1..0..1..1..1....1..1..1..1..1....1..1..1..1..1

Crossrefs

Sequence in context: A088326 A216956 A285522 * A215297 A225910 A215292

Adjacent sequences: A181036 A181037 A181038 * A181040 A181041 A181042

Keyword

nonn,tabl

Author

R. H. Hardin Sep 30 2010

Status

approved