A200974 T(n,k)=Number of nXk 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

1,1

Comments

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

Links

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

Example

Some solutions for n=3 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

Crossrefs

Column 1 is A200762

Sequence in context: A152578 A300529 A299468 * A184331 A267432 A155712

Adjacent sequences: A200971 A200972 A200973 * A200975 A200976 A200977

Keyword

nonn,tabl

Author

R. H. Hardin Nov 25 2011

Status

approved