A200370 T(n,k)=Number of 0..k arrays x(0..n+4) of n+5 elements with zero n-1st differences

1, 1, 2, 1, 3, 2, 1, 4, 3, 2, 1, 5, 4, 3, 2, 1, 6, 5, 4, 3, 2, 1, 7, 6, 5, 4, 3, 2, 1, 8, 7, 6, 5, 4, 3, 2, 1, 9, 10, 7, 6, 5, 4, 3, 2, 1, 10, 13, 8, 7, 6, 5, 4, 3, 2, 1, 11, 16, 11, 8, 7, 6, 5, 4, 3, 2, 1, 12, 19, 14, 9, 8, 7, 6, 5, 4, 3, 2, 1, 13, 22, 21, 12, 9, 8, 7, 6, 5, 4, 3, 2, 1, 14, 25, 28, 21, 10, 13

Offset

1,3

Comments

Table starts

.1.1.1.1.1.1..1..1..1..1..1..1..1..1..1...1...1...1...1...1...1..1..1.1

.2.3.4.5.6.7..8..9.10.11.12.13.14.15.16..17..18..19..20..21..22.23.24

.2.3.4.5.6.7.10.13.16.19.22.25.28.33.38..43..48..53..58..63..70.77

.2.3.4.5.6.7..8.11.14.21.28.35.42.49.60..75..90.105.120.139.162

.2.3.4.5.6.7..8..9.12.21.30.39.52.65.84.107.130.155.184.221

.2.3.4.5.6.7..8..9.10.15.24.39.54.69.92.117.142.171.208

.2.3.4.5.6.7..8.13.18.23.30.39.48.63.82.109.142.187

.2.3.4.5.6.7..8.11.18.25.32.41.50.63.80.113.150

.2.3.4.5.6.7..8..9.12.15.18.21.28.47.66..97

.2.3.4.5.6.7..8..9.10.11.12.17.22.35.52

Links

R. H. Hardin, Table of n, a(n) for n = 1..291

Example

All solutions for n=9 k=9
..4....1....6....2....0....2....8....9....3....5....7....7
..4....1....6....2....0....6....8....9....3....5....7....3
..4....1....6....2....0....2....8....9....3....5....7....7
..4....1....6....2....0....0....8....9....3....5....7....9
..4....1....6....2....0....2....8....9....3....5....7....7
..4....1....6....2....0....6....8....9....3....5....7....3
..4....1....6....2....0....9....8....9....3....5....7....0
..4....1....6....2....0....9....8....9....3....5....7....0
..4....1....6....2....0....6....8....9....3....5....7....3
..4....1....6....2....0....2....8....9....3....5....7....7
..4....1....6....2....0....0....8....9....3....5....7....9
..4....1....6....2....0....2....8....9....3....5....7....7
..4....1....6....2....0....6....8....9....3....5....7....3
..4....1....6....2....0....2....8....9....3....5....7....7

Crossrefs

Row 3 is A008814

Sequence in context: A194908 A004736 A373214 * A200443 A167288 A167289

Adjacent sequences: A200367 A200368 A200369 * A200371 A200372 A200373

Keyword

nonn,tabl

Author

R. H. Hardin Nov 16 2011

Status

approved