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A189449 T(n,k)=Number of nXk array permutations with each element moving zero or one space horizontally or diagonally 14
1, 2, 1, 3, 5, 1, 5, 16, 13, 1, 8, 61, 80, 34, 1, 13, 225, 666, 400, 89, 1, 21, 841, 5080, 7300, 2000, 233, 1, 34, 3136, 40106, 118128, 80282, 10000, 610, 1, 55, 11705, 313136, 2008890, 2735828, 883049, 50000, 1597, 1, 89, 43681, 2455013, 33735505, 100047288 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
.1.....2.......3...........5..............8................13
.1.....5......16..........61............225...............841
.1....13......80.........666...........5080.............40106
.1....34.....400........7300.........118128...........2008890
.1....89....2000.......80282........2735828.........100047288
.1...233...10000......883049.......63367633........4982424404
.1...610...50000.....9712873.....1467726607......248187289625
.1..1597..250000...106834338....33995627281....12362821462925
.1..4181.1250000..1175098084...787410049440...615823316590381
.1.10946.6250000.12925203122.18238068717816.30675714678416140
LINKS
EXAMPLE
Some solutions for 5X3
..1..0..2....0..5..2....0..5..2....0..2..1....0..2..1....4..5..2....1..0..2
..4..3..5....7..4..1....7..4..1....3..4..5....3..5..4....3..0..1....4..3..5
..6..7..8....6..3..8...10..3..8....7.11..8....6..8..7....6..8..7...10..7..8
.10..9.11....9.11.10....9..6.11...13..6.10...10..9.11...13.10.11...13..6.11
.12.14.13...12.14.13...12.13.14...12..9.14...12.13.14...12..9.14...12..9.14
CROSSREFS
Column 2 is A001519(n+1)
Column 3 is A055842
Row 1 is A000045(n+1)
Sequence in context: A125076 A220562 A215564 * A239286 A109533 A062705
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 22 2011
STATUS
approved

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Last modified March 1 04:57 EST 2024. Contains 370430 sequences. (Running on oeis4.)