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

Author

R. H. Hardin Nov 23 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A200760