A181031 Array read by antidiagonals: T(n,k) = number of n X k binary matrices with no initial bit string in any row or column divisible by 4.

1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 5, 7, 5, 1, 1, 8, 17, 17, 8, 1, 1, 13, 41, 63, 41, 13, 1, 1, 21, 99, 227, 227, 99, 21, 1, 1, 34, 239, 827, 1234, 827, 239, 34, 1, 1, 55, 577, 2999, 6743, 6743, 2999, 577, 55, 1, 1, 89, 1393, 10897, 36787, 55447, 36787, 10897, 1393, 89, 1, 1, 144

Offset: 1

Author

R. H. Hardin, Sep 30 2010

Keywords

• nonn
• tabl

Comments

A089980 is essentially the same array (see the Comments by Steve Butler in A006506). - N. J. A. Sloane, Jan 27 2015

Examples

			Table starts
.1..1....1......1.......1.........1...........1............1..............1
.1..2....3......5.......8........13..........21...........34.............55
.1..3....7.....17......41........99.........239..........577...........1393
.1..5...17.....63.....227.......827........2999........10897..........39561
.1..8...41....227....1234......6743.......36787.......200798........1095851
.1.13...99....827....6743.....55447......454385......3729091.......30584687
.1.21..239...2999...36787....454385.....5598861.....69050253......851302029
.1.34..577..10897..200798...3729091....69050253...1280128950....23720149995
.1.55.1393..39561.1095851..30584687...851302029..23720149995...660647962955
.1.89.3363.143677.5980913.250916131.10496827403.439621976195.18403310404291
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..1..0..1....1..0..1..0..1....1..0..1..0..1....1..0..1..0..1
..1..1..0..1..0....1..1..0..1..0....1..1..0..1..0....1..1..0..1..0
..1..0..1..0..1....1..0..1..0..1....1..0..1..0..1....1..0..1..0..1
..1..1..0..1..0....1..1..0..1..1....1..1..1..1..0....1..1..1..1..1
		

Links

• R. H. Hardin, Table of n, a(n) for n=1..1057

Crossrefs

Cf. A089980.