A282481 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its king-move neighbors, with the exception of exactly two elements.

0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 18, 40, 18, 0, 0, 89, 483, 483, 89, 0, 0, 408, 4328, 8208, 4328, 408, 0, 0, 1754, 36425, 127603, 127603, 36425, 1754, 0, 0, 7528, 297210, 1905024, 3648818, 1905024, 297210, 7528, 0, 0, 31798, 2327123, 27253740, 97464193

Offset

1,8

Comments

Table starts

.0.....0........0..........0.............0...............0..................0

.0.....0........5.........18............89.............408...............1754

.0.....5.......40........483..........4328...........36425.............297210

.0....18......483.......8208........127603.........1905024...........27253740

.0....89.....4328.....127603.......3648818........97464193.........2496089344

.0...408....36425....1905024......97464193......4672345728.......213243466320

.0..1754...297210...27253740....2496089344....213243466320.....17282935743792

.0..7528..2327123..376888612...61848450513...9416926688594...1356909122451366

.0.31798.17768964.5103365490.1496483484838.405614428281622.103825223863665136

Links

R. H. Hardin, Table of n, a(n) for n = 1..179

Formula

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: [order 18]

k=3: [order 27]

k=4: [order 51]

Example

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

Crossrefs

Sequence in context: A285288 A356116 A281165 * A286979 A030047 A176184

Adjacent sequences: A282478 A282479 A282480 * A282482 A282483 A282484

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 16 2017

Status

approved