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

Author

R. H. Hardin Nov 16 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Row 3 is A008814