A200329 T(n,k)=Number of 0..k arrays x(0..n+2) of n+3 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, 8, 5, 4, 3, 2, 1, 8, 11, 6, 5, 4, 3, 2, 1, 9, 14, 13, 6, 5, 4, 3, 2, 1, 10, 17, 20, 13, 6, 5, 4, 3, 2, 1, 11, 20, 27, 28, 9, 6, 5, 4, 3, 2, 1, 12, 25, 36, 43, 26, 7, 6, 5, 4, 3, 2, 1, 13, 30, 49, 58, 49, 18, 7, 6, 9, 4, 3, 2, 1, 14, 35, 62

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

.2.3.4.5..6..7..8..9..10..11..12..13...14...15...16...17...18...19...20...21

.2.3.4.5..8.11.14.17..20..25..30..35...40...45...52...59...66...73...80...89

.2.3.4.5..6.13.20.27..36..49..62..81..100..119..146..177..208..247..286..329

.2.3.4.5..6.13.28.43..58..87.116.159..206..271..350..453..566..689..828.1007

.2.3.4.5..6..9.26.49..76.117.174.257..348..505..704..965.1290.1655.2080

.2.3.4.5..6..7.18.43..78.131.224.363..526..833.1236.1803.2496.3415

.2.3.4.5..6..7.16.49.100.193.322.517..764.1281.2048.3195.4686

.2.3.4.5..6.17.30.61.106.173.328.683.1204.2075.3450.5525

.2.3.4.9.16.25.34.61.108.193.370.881.1728.3285.5892

Links

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

Example

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

Crossrefs

Row 3 is A008812

Sequence in context: A200443 A167288 A167289 * A023122 A375377 A375376

Adjacent sequences: A200326 A200327 A200328 * A200330 A200331 A200332

Keyword

nonn,tabl

Author

R. H. Hardin Nov 16 2011

Status

approved