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A201439 T(n,k)=Number of zero-sum -k..k arrays of n elements with first through fourth differences also in -k..k 10
1, 1, 1, 1, 3, 3, 1, 3, 5, 1, 1, 5, 15, 15, 5, 1, 5, 21, 29, 21, 9, 1, 7, 27, 75, 55, 37, 5, 1, 7, 47, 115, 111, 167, 39, 3, 1, 9, 57, 217, 479, 527, 295, 65, 5, 1, 9, 67, 297, 837, 1341, 1275, 647, 107, 3, 1, 11, 97, 479, 1333, 3067, 4285, 3643, 1427, 183, 5, 1, 11, 111, 609, 1989 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1...1....1.....1......1......1.......1.......1........1........1.........1

.1...3....3.....5......5......7.......7.......9........9.......11........11

.3...5...15....21.....27.....47......57......67.......97......111.......125

.1..15...29....75....115....217.....297.....479......609......887......1091

.5..21...55...111....479....837....1333....1989.....2827.....5737......7743

.9..37..167...527...1341...3067....6019...11353....19601....32099.....50621

.5..39..295..1275...4285..11591...27087...57287...111197...203089....349901

.3..65..647..3643..14655..46521..126147..302317...656023..1320573...2491653

.5.107.1427.10245..50273.189527..592487.1606929..3900645..8671331..17926489

.3.183.3399.30215.176501.794867.2795067.8694999.23480657.57552991.130573921

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..447

EXAMPLE

Some solutions for n=10 k=3

..2...-2....0...-3....0....3....2....2....2....0...-1...-1....3....0....1...-1

..2...-1....0....0....1....1....1....2....1...-1....1...-1....3....1...-1...-1

..2...-1....1....1....1....0....1....2....1...-1....1...-1....2....2...-2....1

..2...-1....1....0....1....0....2....1....1...-1....1...-1....0....3...-2....2

..1....0....1...-1....1....0....2....0....1....0....0...-1...-1....2...-1....2

..0....1....0...-1....0...-1....1...-1....0....0...-1....0...-2...-1....1....1

.-2....1...-1...-1....0...-2...-1...-1...-1....0...-1....1...-2...-3....2....0

.-3....0...-2....0....0...-2...-2...-1...-2....1...-1....1...-2...-3....1...-1

.-3....0...-1....2...-1...-1...-3...-1...-2....1....0....1...-1...-1....0...-2

.-1....3....1....3...-3....2...-3...-3...-1....1....1....2....0....0....1...-1

CROSSREFS

Sequence in context: A110766 A166314 A109630 * A202511 A080094 A201873

Adjacent sequences:  A201436 A201437 A201438 * A201440 A201441 A201442

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Dec 01 2011

STATUS

approved

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Last modified May 18 03:30 EDT 2022. Contains 353783 sequences. (Running on oeis4.)