A286216 T(n,k) = Number of n X k 0..1 arrays with the number of 1's king-move adjacent to some 0 two less than the number of 0's adjacent to some 1.

0, 0, 0, 0, 4, 0, 0, 17, 17, 0, 0, 62, 52, 62, 0, 1, 238, 684, 684, 238, 1, 3, 912, 2128, 10056, 2128, 912, 3, 10, 3468, 34896, 141018, 141018, 34896, 3468, 10, 24, 13224, 123541, 2053994, 1656022, 2053994, 123541, 13224, 24, 60, 50655, 1891998, 30004158

Offset

1,5

Comments

Table starts

..0.....0.......0..........0.............0................1..................3

..0.....4......17.........62...........238..............912...............3468

..0....17......52........684..........2128............34896.............123541

..0....62.....684......10056........141018..........2053994...........30004158

..0...238....2128.....141018.......1656022........113258929.........1569283128

..1...912...34896....2053994.....113258929.......6553131164.......380797680269

..3..3468..123541...30004158....1569283128.....380797680269.....23594688741164

.10.13224.1891998..443275636...97311031516...22418184755710...5201563721481604

.24.50655.7565509.6591532114.1540259241508.1330080388106827.366234192215237315

Links

R. H. Hardin, Table of n, a(n) for n = 1..161

Example

Some solutions for n=4, k=4
..0..1..1..0. .0..0..0..0. .1..0..1..1. .0..0..1..0. .1..1..1..1
..0..0..0..1. .0..1..1..1. .0..0..0..0. .1..0..0..0. .0..0..0..1
..1..1..1..0. .1..1..0..0. .1..1..1..0. .1..0..0..1. .0..0..0..0
..0..1..0..0. .1..0..1..0. .1..0..0..0. .0..1..1..1. .0..0..1..0

Crossrefs

Sequence in context: A019259 A019218 A125762 * A280727 A232357 A196302

Adjacent sequences: A286213 A286214 A286215 * A286217 A286218 A286219

Keyword

nonn,tabl

Author

R. H. Hardin, May 04 2017

Status

approved