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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified January 29 09:12 EST 2022. Contains 350672 sequences. (Running on oeis4.)