A188236 T(n,k)=Number of nondecreasing arrangements of n numbers in -(n+k-2)..(n+k-2) with sum zero and not more than two numbers equal

1, 1, 2, 1, 3, 4, 1, 4, 7, 15, 1, 5, 12, 30, 58, 1, 6, 17, 52, 119, 245, 1, 7, 24, 81, 221, 527, 1082, 1, 8, 31, 121, 374, 1019, 2395, 5020, 1, 9, 40, 172, 598, 1818, 4818, 11376, 24040, 1, 10, 49, 234, 903, 3047, 8964, 23522, 55368, 118154, 1, 11, 60, 311, 1317, 4859

Offset

1,3

Comments

Table starts

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

......2......3......4.......5.......6.......7.......8........9.......10

......4......7.....12......17......24......31......40.......49.......60

.....15.....30.....52......81.....121.....172.....234......311......403

.....58....119....221.....374.....598.....903....1317.....1852.....2540

....245....527...1019....1818....3047....4859....7435....10994....15791

...1082...2395...4818....8964...15696...26123...41748....64370....96346

...5020..11376..23522...45225...81981..141519..234413...374820...581280

..24040..55368.117209..231596..432491..769915.1316060..2171675..3475284

.118154.275735.594789.1202495.2302608.4209720.7395049.12546170.20642874

Links

R. H. Hardin, Table of n, a(n) for n = 1..521

Example

Some solutions for n=6 k=4
.-7...-8...-5...-8...-5...-7...-7...-3...-8...-8...-6...-6...-5...-7...-6...-5
.-4...-8...-3...-5...-5...-7...-4...-3...-4...-8...-6...-4...-4...-4...-2...-5
..0...-4...-2...-4...-1...-1....1....1....0....0....2...-4....1....0...-1....1
..2....6....0....3....1....0....2....1....3....2....2....2....1....1...-1....1
..3....7....4....7....3....7....2....2....4....7....3....4....3....3....3....4
..6....7....6....7....7....8....6....2....5....7....5....8....4....7....7....4

Crossrefs

Row 3 is A074148(n+1)

Sequence in context: A078925 A361042 A072506 * A181851 A210231 A180378

Adjacent sequences: A188233 A188234 A188235 * A188237 A188238 A188239

Keyword

nonn,tabl

Author

R. H. Hardin Mar 24 2011

Status

approved