A200858 T(n,k)=Number of nXk 0..4 arrays with every row and column running average nondecreasing rightwards and downwards

5, 15, 15, 42, 105, 42, 113, 647, 647, 113, 297, 3728, 8535, 3728, 297, 767, 20656, 103528, 103528, 20656, 767, 1957, 111222, 1194898, 2604826, 1194898, 111222, 1957, 4947, 586908, 13295014, 61846403, 61846403, 13295014, 586908, 4947, 12419

Offset

1,1

Comments

Table starts

.....5.......15...........42............113.............297..............767

....15......105..........647...........3728...........20656...........111222

....42......647.........8535.........103528.........1194898.........13295014

...113.....3728.......103528........2604826........61846403.......1408572430

...297....20656......1194898.......61846403......3001883019.....139139776965

...767...111222.....13295014.....1408572430....139139776965...13079416454738

..1957...586908....144195756....31197299012...6255225014290.1191594088382132

..4947..3047226...1532754468...676213941385.274516401002582

.12419.15620118..16036647028.14409889137860

.31006.79228317.165590166035

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

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

Crossrefs

Column 1 is A200760

Sequence in context: A166621 A330082 A160275 * A184288 A015666 A291627

Adjacent sequences: A200855 A200856 A200857 * A200859 A200860 A200861

Keyword

nonn,tabl

Author

R. H. Hardin Nov 23 2011

Status

approved