A204884 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..3 introduced in row major order

3348, 91703, 91703, 2604782, 6082654, 2604782, 61994345, 432151810, 432151810, 61994345, 1609422202, 22654826769, 79228199600, 22654826769, 1609422202, 43272008917, 1421934861518, 10058007480113, 10058007480113, 1421934861518

Offset

1,1

Comments

Table starts

...........3348............91703............2604782...........61994345

..........91703..........6082654..........432151810........22654826769

........2604782........432151810........79228199600.....10058007480113

.......61994345......22654826769.....10058007480113...1751372518792428

.....1609422202....1421934861518...1629930181925176.544737295879911847

....43272008917...94025074210903.278416657584301522

..1093785287286.5608526903917271

.28171869515568

Links

R. H. Hardin, Table of n, a(n) for n = 1..39

Example

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

Crossrefs

Sequence in context: A358312 A348525 A255731 * A204880 A151601 A251817

Adjacent sequences: A204881 A204882 A204883 * A204885 A204886 A204887

Keyword

nonn,tabl

Author

R. H. Hardin Jan 20 2012

Status

approved