A226422 T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some lexicographically greater or equal nondecreasing -k..k vector equals n

2, 2, 3, 2, 11, 4, 2, 17, 20, 5, 2, 25, 61, 57, 6, 2, 36, 104, 159, 88, 7, 2, 47, 186, 411, 365, 180, 8, 2, 62, 275, 800, 968, 847, 254, 9, 2, 78, 431, 1415, 2560, 2689, 1488, 439, 10, 2, 94, 585, 2394, 4932, 7102, 5573, 2751, 587, 11, 2, 116, 848, 3848, 9546, 17203, 17441

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..160

Example

Table starts
..2...2....2.....2......2......2.......2.......2.......2.......2.......2
..3..11...17....25.....36.....47......62......78......94.....116.....142
..4..20...61...104....186....275.....431.....585.....848....1080....1470
..5..57..159...411....800...1415....2394....3848....5764....8484...12067
..6..88..365...968...2560...4932....9546...16367...27678...43394...67854
..7.180..847..2689...7102..17203...35451...67982..123055..211156..347133
..8.254.1488..5573..17441..44256..108478..224471..443879..815019.1452101
..9.439.2751.12301..41336.118669..302135..711442.1500739.2984761
.10.587.4739.22398..87716.275619..777184.1935009.4555068
.11.905.7551.41891.180915.628149.1900407.5151925
Some solutions for n=3 k=4
.-3...-1...-3...-1...-3...-4...-3...-2....0...-2...-4...-4...-4...-2...-1...-4
.-1...-1...-2...-1...-3....1....0...-2....0....3...-1...-1....1....2....1...-3
..2....4...-2....1...-1....3....4....1....1....3....3....0....1....3....1...-1

Crossrefs

Sequence in context: A016003 A087139 A342607 * A375765 A016005 A016006

Adjacent sequences: A226419 A226420 A226421 * A226423 A226424 A226425

Keyword

nonn,tabl

Author

R. H. Hardin, Jun 06 2013

Status

approved