A200974 T(n,k) is the number of n X k 0..6 arrays with every row and column running average nondecreasing rightwards and downwards.

7, 28, 28, 106, 336, 106, 388, 3636, 3636, 388, 1387, 37254, 110854, 37254, 1387, 4874, 368218, 3167295, 3167295, 368218, 4874, 16919, 3543465, 86468392, 250149820, 86468392, 3543465, 16919, 58198, 33420304, 2279060645, 18714498069

Offset: 1

Author

R. H. Hardin, Nov 25 2011

Keywords

• nonn
• tabl

Examples

			Table starts:
......7.........28...........106............388............1387............4874
.....28........336..........3636..........37254..........368218.........3543465
....106.......3636........110854........3167295........86468392......2279060645
....388......37254.......3167295......250149820.....18714498069...1342587653727
...1387.....368218......86468392....18714498069...3807002935896.738228105542702
...4874....3543465....2279060645..1342587653727.738228105542702
..16919...33420304...58497330607.93360032845673
..58198..310188575.1470248361721
.198807.2842734858
.675372
Some solutions for n=3 and k=3:
..0..0..1....0..0..0....0..1..1....0..0..3....0..4..5....0..0..1....1..1..4
..0..0..3....0..0..3....0..1..1....2..2..6....2..4..5....4..4..5....1..5..6
..0..4..4....4..4..4....0..5..4....1..6..6....2..4..5....2..3..3....2..6..5
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..60

Crossrefs

Column 1 is A200762.