A202252 T(n,k)=Number of zero-sum -k..k arrays of n elements with adjacent element differences also in -k..k

1, 1, 1, 1, 3, 3, 1, 3, 9, 7, 1, 5, 17, 31, 15, 1, 5, 27, 81, 107, 33, 1, 7, 41, 171, 397, 387, 75, 1, 7, 57, 309, 1077, 2003, 1415, 171, 1, 9, 75, 509, 2385, 6963, 10239, 5231, 391, 1, 9, 97, 779, 4643, 18841, 45523, 52697, 19477, 899, 1, 11, 121, 1133, 8211, 43293, 150523

Offset

1,5

Comments

Table starts

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

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

...3.....9......17.......27.......41........57.........75.........97

...7....31......81......171......309.......509........779.......1133

..15...107.....397.....1077.....2385......4643.......8211......13533

..33...387....2003.....6963....18841.....43293......88301.....164873

..75..1415...10239....45523...150523....408211.....960501....2031401

.171..5231...52697...300417..1212443...3882871...10536609...25247111

.391.19477..273021..1995897..9832015..37183105..116366779..315903491

.899.72933.1422337.13332697.80165217.358012837.1292162535.3974268379

Links

R. H. Hardin, Table of n, a(n) for n = 1..9999

Example

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

Crossrefs

Column 1 is A136029

Sequence in context: A078882 A262220 A325254 * A261633 A277103 A120919

Adjacent sequences: A202249 A202250 A202251 * A202253 A202254 A202255

Keyword

nonn,tabl

Author

R. H. Hardin Dec 14 2011

Status

approved