A200763 T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with nondecreasing average value.

2, 3, 3, 4, 6, 4, 5, 10, 11, 5, 6, 15, 23, 19, 6, 7, 21, 42, 51, 32, 7, 8, 28, 69, 113, 110, 53, 8, 9, 36, 106, 219, 297, 233, 87, 9, 10, 45, 154, 388, 679, 767, 488, 142, 10, 11, 55, 215, 638, 1387, 2070, 1957, 1013, 231, 11, 12, 66, 290, 995, 2583, 4874, 6235, 4947, 2088

Offset: 1

Author

R. H. Hardin Nov 22 2011

Keywords

• nonn
• tabl

Comments

Table starts

..2...3....4.....5......6......7.......8.......9.......10.......11........12

..3...6...10....15.....21.....28......36......45.......55.......66........78

..4..11...23....42.....69....106.....154.....215......290......381.......489

..5..19...51...113....219....388.....638.....995.....1483.....2133......2975

..6..32..110...297....679...1387....2583....4500.....7410....11669.....17687

..7..53..233...767...2070...4874...10283...20012....36412....62780....103412

..8..87..488..1957...6235..16919...40437...87914...176767...333702....597390

..9.142.1013..4947..18608..58198..157577..382720...850389..1757813...3420112

.10.231.2088.12419..55148.198807..609826.1654657..4062796..9195619..19445435

.11.375.4278.31006.162532.675372.2347039.7114665.19304047.47842607.109955586

Examples

			Some solutions for n=8 k=8
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..2....1....1....4....3....3....0....3....2....3....2....5....3....1....0....2
..2....7....6....2....1....2....3....2....1....4....7....3....4....5....3....6
..2....3....4....7....7....7....5....6....1....6....3....3....5....2....8....4
..4....7....6....6....4....4....4....5....1....6....4....3....3....7....3....4
..7....4....8....4....5....6....2....4....6....7....6....8....8....7....7....6
..5....5....5....6....6....5....4....7....6....4....4....4....7....4....6....8
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..9999

Crossrefs

Column 2 is A001911(n+1)

Column 7 is A200707

Row 2 is A000217(n+1)

Row 3 is A019298(n+1)