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

Author

R. H. Hardin Mar 24 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Row 3 is A074148(n+1)