A205170 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having unequal diagonal elements or unequal antidiagonal elements, and new values 0..3 introduced in row major order

13, 159, 159, 2277, 8479, 2277, 33831, 474853, 474853, 33831, 506493, 26702419, 100138314, 26702419, 506493, 7594479, 1502057181, 21125224557, 21125224557, 1502057181, 7594479, 113908437, 84495589507, 4456641224469, 16713430246949

Offset

1,1

Comments

Table starts

.........13.............159.................2277.....................33831

........159............8479...............474853..................26702419

.......2277..........474853............100138314...............21125224557

......33831........26702419..........21125224557............16713430246949

.....506493......1502057181........4456641224469.........13223001109687815

....7594479.....84495589507......940186880752830......10461512493459648399

..113908437...4753161432989...198344748421652865....8276732547425415428669

.1708600311.267381383420963.41843425013764138653.6548221560172100787717125

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Example

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

Crossrefs

Sequence in context: A015470 A084328 A000830 * A205163 A118673 A216300

Adjacent sequences: A205167 A205168 A205169 * A205171 A205172 A205173

Keyword

nonn,tabl

Author

R. H. Hardin Jan 22 2012

Status

approved