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

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

.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

Examples

			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
		

Links

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

Crossrefs

Row 3 is A008812