A201873 T(n,k)=Number of zero-sum -k..k arrays of n elements with first and second differences also in -k..k

1, 1, 1, 1, 3, 3, 1, 3, 5, 3, 1, 5, 15, 19, 5, 1, 5, 21, 45, 45, 11, 1, 7, 27, 95, 169, 129, 21, 1, 7, 47, 173, 443, 643, 345, 39, 1, 9, 57, 285, 977, 2191, 2509, 1031, 73, 1, 9, 67, 431, 1905, 5963, 11107, 10129, 2969, 129, 1, 11, 97, 633, 3373, 13635, 36569, 57203, 41031

Offset

1,5

Comments

Table starts

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

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

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

...3...19.....45......95.....173......285.......431.......633........879

...5...45....169.....443.....977.....1905......3373......5555.......8655

..11..129....643....2191....5963....13635.....27647.....51753......90021

..21..345...2509...11107...36569....99143....232969....492307.....958025

..39.1031..10129...57203..229949...734607...1990383...4764587...10355033

..73.2969..41031..296293.1451137..5477087..17103271..46365813..112608305

.129.8803.166337.1541117.9210249.40989699.147612131.453359171.1229793047

Links

R. H. Hardin, Table of n, a(n) for n = 1..1912

Example

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

Crossrefs

Sequence in context: A201439 A202511 A080094 * A317931 A002332 A332547

Adjacent sequences: A201870 A201871 A201872 * A201874 A201875 A201876

Keyword

nonn,tabl

Author

R. H. Hardin Dec 06 2011

Status

approved