A204954 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly two different ways, and new values 0..2 introduced in row major order

506, 4041, 4041, 33785, 41353, 33785, 242852, 457852, 457852, 242852, 1834500, 4566666, 7062216, 4566666, 1834500, 14289768, 48128792, 94983268, 94983268, 48128792, 14289768, 108053748, 523821125, 1407027760, 1616210763, 1407027760

Offset

1,1

Comments

Table starts

.......506........4041.........33785.........242852........1834500

......4041.......41353........457852........4566666.......48128792

.....33785......457852.......7062216.......94983268.....1407027760

....242852.....4566666......94983268.....1616210763....33301704234

...1834500....48128792....1407027760....33301704234..1021853269087

..14289768...523821125...21551078590...691810208216.31154215435107

.108053748..5530809140..310518886748.13020576504578

.821739738.58869604914.4578824217729

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions for n=3 k=3
..0..1..1..2..1....0..0..1..0..0....0..1..2..2..0....0..0..0..0..0
..2..0..0..0..0....0..1..0..0..0....0..0..0..0..1....0..0..0..0..0
..0..0..0..0..0....1..1..1..0..2....1..0..0..0..0....1..2..1..1..2
..2..2..2..1..1....2..1..1..0..2....1..1..1..2..0....2..2..2..2..2
..0..1..1..1..1....0..0..0..0..2....0..1..1..1..0....0..2..1..0..2

Crossrefs

Sequence in context: A332150 A336561 A158633 * A204947 A295992 A122267

Adjacent sequences: A204951 A204952 A204953 * A204955 A204956 A204957

Keyword

nonn,tabl

Author

R. H. Hardin Jan 20 2012

Status

approved