A199356 T(n,k)=Number of nXk 0..3 arrays with values 0..3 introduced in row major order, the number of instances of each value within one of each other, and every element equal to zero or one horizontal or vertical neighbors

1, 1, 1, 1, 1, 1, 1, 45, 45, 1, 10, 105, 930, 105, 10, 45, 4251, 7945, 7945, 4251, 45, 105, 9175, 808721, 705263, 808721, 9175, 105, 105, 447916, 36379420, 66367192, 66367192, 36379420, 447916, 105, 1155, 958259, 821116806, 6518500460

Offset

1,8

Comments

Table starts

....1........1..........1............1.............10.............45

....1........1.........45..........105...........4251...........9175

....1.......45........930.........7945.........808721.......36379420

....1......105.......7945.......705263.......66367192.....6518500460

...10.....4251.....808721.....66367192....71245512532.32990481786550

...45.....9175...36379420...6518500460.32990481786550

..105...447916..821116806.661357976129

..105...958259.7583425311

.1155.50233308

.5505

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Sequence in context: A087083 A216407 A137439 * A199523 A119415 A165866

Adjacent sequences: A199353 A199354 A199355 * A199357 A199358 A199359

Keyword

nonn,tabl

Author

R. H. Hardin Nov 05 2011

Status

approved