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

1,1

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

Links

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

Example

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

Crossrefs

Column 2 is A001911(n+1)

Column 7 is A200707

Row 2 is A000217(n+1)

Row 3 is A019298(n+1)

Sequence in context: A225273 A014410 A180986 * A203291 A220053 A320509

Adjacent sequences: A200760 A200761 A200762 * A200764 A200765 A200766

Keyword

nonn,tabl

Author

R. H. Hardin Nov 22 2011

Status

approved