A203923 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..1 introduced in row major order

112, 392, 392, 1400, 1682, 1400, 5000, 6050, 6050, 5000, 17800, 21632, 21470, 21632, 17800, 63368, 77618, 75272, 75272, 77618, 63368, 225704, 279752, 267066, 262088, 267066, 279752, 225704, 803912, 1008200, 949442, 916658, 916658, 949442, 1008200

Offset

1,1

Comments

Table starts

....112.....392.....1400.....5000.....17800.....63368.....225704.....803912

....392....1682.....6050....21632.....77618....279752....1008200....3628818

...1400....6050....21470....75272....267066....949442....3376768...12014802

...5000...21632....75272...262088....916658...3220722...11309768...39783200

..17800...77618...267066...916658...3191760..11082632...38569884..134316050

..63368..279752...949442..3220722..11082632..38438912..132454088..457591752

.225704.1008200..3376768.11309768..38569884.132454088..457030140.1565984648

.803912.3628818.12014802.39783200.134316050.457591752.1565984648.5384729088

Links

R. H. Hardin, Table of n, a(n) for n = 1..479

Example

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

Crossrefs

Sequence in context: A233892 A233885 A235319 * A235312 A203916 A234681

Adjacent sequences: A203920 A203921 A203922 * A203924 A203925 A203926

Keyword

nonn,tabl

Author

R. H. Hardin Jan 07 2012

Status

approved