A200443 T(n,k)=Number of 0..k arrays x(0..n+3) of n+4 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, 9, 6, 5, 4, 3, 2, 1, 9, 12, 9, 6, 5, 4, 3, 2, 1, 10, 15, 14, 9, 6, 5, 4, 3, 2, 1, 11, 18, 19, 12, 7, 6, 5, 4, 3, 2, 1, 12, 21, 24, 17, 12, 7, 6, 5, 4, 3, 2, 1, 13, 24, 33, 22, 19, 8, 7, 6, 7, 4, 3, 2, 1, 14, 29, 42, 37

Offset: 1

Author

R. H. Hardin Nov 18 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

.2.3.4.5..6..7..8..9.10.11.12..13..14..15..16..17..18..19..20..21.22.23

.2.3.4.5..6..9.12.15.18.21.24..29..34..39..44..49..54..61..68..75.82

.2.3.4.5..6..9.14.19.24.33.42..53..64..77..94.115.136.159.182.209

.2.3.4.5..6..9.12.17.22.37.52..71..94.117.148.197.250.305.364

.2.3.4.5..6..7.12.19.28.43.66..97.132.177.242.321.420.529

.2.3.4.5..6..7..8.17.26.41.60..93.130.187.256.373.522

.2.3.4.5..6..7.10.23.42.63.88.117.158.241.356.525

.2.3.4.5..6..9.12.21.34.51.72.123.190.311.452

.2.3.4.7.10.13.16.23.34.49.72.123.208.367

Examples

			Some.solutions.for.n=8.k=8..
..8....4....2....0....6....1....0....8....7....0....8....8....5....1....1....8
..8....1....2....6....6....8....0....6....7....8....2....1....5....0....1....0
..8....7....2....6....6....4....0....2....7....6....2....5....5....4....1....2
..8....8....2....6....6....1....0....0....7....2....2....8....5....7....1....6
..8....4....2....7....6....1....0....1....7....0....1....8....5....8....1....8
..8....0....2....8....6....2....0....4....7....1....0....7....5....8....1....7
..8....0....2....8....6....2....0....7....7....4....0....7....5....8....1....4
..8....4....2....7....6....1....0....8....7....7....1....8....5....8....1....1
..8....8....2....6....6....1....0....6....7....8....2....8....5....7....1....0
..8....7....2....6....6....4....0....2....7....6....2....5....5....4....1....2
..8....1....2....6....6....8....0....0....7....2....2....1....5....0....1....6
..8....4....2....0....6....1....0....8....7....0....8....8....5....1....1....8
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..268

Crossrefs

Row 3 is A008813