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

1,3

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

.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

Links

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

Example

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

Crossrefs

Row 3 is A008813

Sequence in context: A004736 A373214 A200370 * A167288 A167289 A200329

Adjacent sequences: A200440 A200441 A200442 * A200444 A200445 A200446

Keyword

nonn,tabl

Author

R. H. Hardin Nov 18 2011

Status

approved