A206503 T(n,k)=Number of nXk 0..7 arrays with no element equal to another within a city block distance of two, and new values 0..7 introduced in row major order

1, 1, 1, 1, 1, 1, 2, 4, 4, 2, 5, 34, 65, 34, 5, 15, 481, 3130, 3130, 481, 15, 52, 8731, 178998, 502599, 178998, 8731, 52, 203, 174454, 10502458, 83045488, 83045488, 10502458, 174454, 203, 876, 3603244, 618242826, 13752277898, 38638317841, 13752277898

Offset

1,7

Comments

Table starts

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

...1.......1.........4..........34.........481........8731........174454

...1.......4........65........3130......178998....10502458.....618242826

...2......34......3130......502599....83045488.13752277898.2277207309720

...5.....481....178998....83045488.38638317841

..15....8731..10502458.13752277898

..52..174454.618242826

.203.3603244

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

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....3..4..5....2..3..0....2..3..4....2..3..0....2..3..0....3..4..0
..1..4..5....5..2..1....1..4..5....4..5..6....4..5..6....4..5..1....2..5..1
..5..0..1....6..7..3....5..2..1....6..1..7....6..7..1....3..0..6....0..3..6

Crossrefs

Column 1 is A056273(n-2)

Column 2 is A198976(n-1)

Sequence in context: A263442 A206396 A206389 * A323938 A122592 A099264

Adjacent sequences: A206500 A206501 A206502 * A206504 A206505 A206506

Keyword

nonn,tabl

Author

R. H. Hardin Feb 08 2012

Status

approved