A226340 T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some other -k..k vector equals n

2, 2, 3, 2, 14, 4, 2, 22, 23, 5, 2, 34, 74, 67, 6, 2, 50, 130, 193, 100, 7, 2, 66, 242, 480, 419, 202, 8, 2, 90, 362, 972, 1139, 921, 281, 9, 2, 114, 578, 1736, 2857, 2973, 1640, 479, 10, 2, 138, 786, 2962, 5621, 7951, 6068, 2951, 636, 11, 2, 170, 1138, 4733, 11041, 18509

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..96

Example

Table starts
..2...2....2.....2.....2......2......2.....2.....2.....2.....2....2...2.2
..3..14...22....34....50.....66.....90...114...138...170...210..234.282
..4..23...74...130...242....362....578...786..1138..1442..1962.2418
..5..67..193...480...972...1736...2962..4733..7063.10319.14629
..6.100..419..1139..2857...5621..11041.18937.31901.49666
..7.202..921..2973..7951..18509..38678.74349
..8.281.1640..6068.19046..48341.114235
..9.479.2951.12823.43667.125429
.10.636.4945.23590.91607
.11.971.7927.43620
Some solutions for n=3 k=4
.-2...-4...-2...-2...-2...-3...-2...-1....3...-2...-4...-4...-2...-3...-1...-4
..1...-4...-1....1....1...-3....0....2....4...-2....1...-1...-1...-1....2....3
..2....3....2....1....4...-3....1....3....4....1....2....2...-1....2....2....3

Crossrefs

Sequence in context: A285247 A016007 A226410 * A334663 A016008 A334514

Adjacent sequences: A226337 A226338 A226339 * A226341 A226342 A226343

Keyword

nonn,tabl

Author

R. H. Hardin, Jun 04 2013

Status

approved