A199943 T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zeroth through n-1st differences all nonzero

2, 4, 2, 6, 12, 2, 8, 30, 36, 2, 10, 56, 142, 104, 2, 12, 90, 376, 660, 302, 2, 14, 132, 778, 2474, 3042, 868, 2, 16, 182, 1404, 6604, 16114, 13890, 2490, 2, 18, 240, 2294, 14696, 55540, 104268, 63260, 7132, 2, 20, 306, 3504, 28490, 152586, 464782, 672866, 287514

Offset

1,1

Comments

Table starts

.2.....4.......6.........8.........10..........12.........14.........16

.2....12......30........56.........90.........132........182........240

.2....36.....142.......376........778........1404.......2294.......3504

.2...104.....660......2474.......6604.......14696......28490......50448

.2...302....3042.....16114......55540......152586.....351148.....721324

.2...868...13890....104268.....464782.....1577040....4310382...10274388

.2..2490...63260....672866....3879760....16261206...52799912..146068736

.2..7132..287514...4334232...32334096...167447004..646091920.2074543774

.2.20424.1305394..27893374..269266622..1723164176.7901341926

.2.58418.5924042.179433990.2241467296.17727091612

Links

R. H. Hardin, Table of n, a(n) for n = 1..128

Example

Some solutions for n=7 k=6
..2...-4...-4....6....3....2....4...-6....6....2...-2...-5....2...-3....2...-4
.-3...-3....4...-6...-6....1...-3...-3....4...-6...-3....1....4....1....1...-6
..1...-6...-6....1...-3...-6...-6...-6...-6...-3...-6....4...-6...-6...-3....1
.-6....4...-3...-6...-6...-3...-3....1....1....4...-3....1...-3....1....4....4
.-2...-4...-4....5....6...-4....5...-1....5....3...-4...-6....2....6....2...-6
..3....2....5...-2...-6....5...-5....5...-5....6...-2...-3....6....1....5...-5
.-3....1...-6....4....1...-6....4...-3....4....4...-6....1...-3...-6....1...-3

Crossrefs

Row 2 is A002939

Sequence in context: A285702 A371064 A104000 * A335340 A013599 A276528

Adjacent sequences: A199940 A199941 A199942 * A199944 A199945 A199946

Keyword

nonn,tabl

Author

R. H. Hardin Nov 12 2011

Status

approved