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
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.