A200760 -id:A200760 - cp's OEIS frontend

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

R. H. Hardin Nov 23 2011

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

			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

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

Column 1 is A200760

cp's OEIS Frontend

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

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