A201393 T(n,k)=Number of nXk 0..3 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other

4, 6, 6, 4, 8, 4, 1, 137, 137, 1, 4, 98, 1606, 98, 4, 6, 1416, 5897, 5897, 1416, 6, 4, 715, 236224, 312604, 236224, 715, 4, 1, 9424, 3364770, 14027391, 14027391, 3364770, 9424, 1, 4, 3977, 19735330, 539625139, 9842070647, 539625139, 19735330, 3977, 4, 6

Offset

1,1

Comments

Table starts

.4.....6..........4............1...............4...............6

.6.....8........137...........98............1416.............715

.4...137.......1606.........5897..........236224.........3364770

.1....98.......5897.......312604........14027391.......539625139

.4..1416.....236224.....14027391......9842070647...2308382992901

.6...715....3364770....539625139...2308382992901.264043688162138

.4..9424...19735330..18131486831.214888479967271

.1..3977...40088345.541077286873

.4.47509.1066040173

.6.17474

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

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

Crossrefs

Sequence in context: A201451 A200352 A286720 * A327721 A327268 A146208

Adjacent sequences: A201390 A201391 A201392 * A201394 A201395 A201396

Keyword

nonn,tabl

Author

R. H. Hardin Nov 30 2011

Status

approved