A206389 T(n,k)=Number of nXk 0..6 arrays with no element equal to another within a city block distance of two, and new values 0..6 introduced in row major order

1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 5, 33, 55, 33, 5, 15, 380, 1368, 1368, 380, 15, 52, 4801, 34442, 67716, 34442, 4801, 52, 202, 62004, 868994, 3328979, 3328979, 868994, 62004, 202, 855, 804833, 21916090, 164270604, 319902496, 164270604, 21916090, 804833, 855

Offset

1,7

Comments

Table starts

...1......1.........1..........2...........5..........15............52

...1......1.........4.........33.........380........4801.........62004

...1......4........55.......1368.......34442......868994......21916090

...2.....33......1368......67716.....3328979...164270604....8094257014

...5....380.....34442....3328979...319902496.30809397399.2965468376203

..15...4801....868994..164270604.30809397399

..52..62004..21916090.8094257014

.202.804833.552801398

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions for n=4 k=3
..0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2
..2..3..0....2..3..0....3..4..0....2..3..4....2..3..4....3..4..5....2..3..4
..4..5..1....4..5..6....1..2..5....4..5..1....1..5..6....5..2..1....4..5..6
..6..2..4....6..2..1....6..0..1....6..0..2....6..2..0....1..6..4....6..0..1

Crossrefs

Column 1 is A056272(n-2)

Column 2 is A198900(n-1)

Sequence in context: A160163 A263442 A206396 * A206503 A323938 A122592

Adjacent sequences: A206386 A206387 A206388 * A206390 A206391 A206392

Keyword

nonn,tabl

Author

R. H. Hardin Feb 07 2012

Status

approved