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A199943 T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zeroth through n-1st differences all nonzero 12
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 (list; table; graph; refs; listen; history; text; internal format)
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: A085190 A285702 A104000 * A013599 A276528 A205839

Adjacent sequences:  A199940 A199941 A199942 * A199944 A199945 A199946

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 12 2011

STATUS

approved

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Last modified October 13 16:34 EDT 2019. Contains 327966 sequences. (Running on oeis4.)