A253044 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order

130, 341, 341, 928, 540, 928, 2638, 998, 998, 2638, 7608, 1866, 1750, 1866, 7608, 22304, 3894, 3119, 3119, 3894, 22304, 65765, 8340, 6086, 5860, 6086, 8340, 65765, 195277, 18180, 12641, 11904, 11904, 12641, 18180, 195277, 582025, 40264, 25184

Offset

1,1

Comments

Table starts

.....130....341....928...2638....7608...22304...65765...195277...582025

.....341....540....998...1866....3894....8340...18180....40264....89212

.....928....998...1750...3119....6086...12641...25184....54251...111467

....2638...1866...3119...5860...11904...24232...51292...106308...220782

....7608...3894...6086..11904...25601...53312..116466...250443...537330

...22304...8340..12641..24232...53312..115438..262728...567781..1244649

...65765..18180..25184..51292..116466..262728..620736..1399406..3180688

..195277..40264..54251.106308..250443..567781.1399406..3167807..7302278

..582025..89212.111467.220782..537330.1244649.3180688..7302278.17606301

.1739571.198458.239582.459446.1142134.2698327.7274744.16597478.41168334

Links

R. H. Hardin, Table of n, a(n) for n = 1..309

Formula

Empirical for column k:

k=1: [linear recurrence of order 34] for n>35

k=2: [order 57] for n>61

k=3: [order 78] for n>80

k=4: [order 82] for n>86

Example

Some solutions for n=3 k=4
..0..1..1..0..0..2....0..1..1..2..2..0....0..0..1..1..2..2....0..1..1..2..1..2
..2..0..2..0..0..1....1..2..1..1..0..1....1..2..1..1..0..0....2..0..2..2..1..1
..0..0..2..2..1..2....1..1..2..2..0..0....1..2..2..0..2..0....0..0..1..1..2..2
..0..2..0..0..1..1....3..2..2..1..2..1....2..1..1..0..0..1....0..2..2..1..2..1
..3..0..0..2..0..2....3..1..1..2..2..1....1..1..2..1..2..1....1..2..2..0..0..2

Crossrefs

Sequence in context: A252263 A252361 A252082 * A253037 A281209 A253036

Adjacent sequences: A253041 A253042 A253043 * A253045 A253046 A253047

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 26 2014

Status

approved