%I #5 Mar 31 2012 12:36:11
%S 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,
%T 527,1082,1,8,31,121,374,1019,2395,5020,1,9,40,172,598,1818,4818,
%U 11376,24040,1,10,49,234,903,3047,8964,23522,55368,118154,1,11,60,311,1317,4859
%N 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
%C Table starts
%C ......1......1......1.......1.......1.......1.......1........1........1
%C ......2......3......4.......5.......6.......7.......8........9.......10
%C ......4......7.....12......17......24......31......40.......49.......60
%C .....15.....30.....52......81.....121.....172.....234......311......403
%C .....58....119....221.....374.....598.....903....1317.....1852.....2540
%C ....245....527...1019....1818....3047....4859....7435....10994....15791
%C ...1082...2395...4818....8964...15696...26123...41748....64370....96346
%C ...5020..11376..23522...45225...81981..141519..234413...374820...581280
%C ..24040..55368.117209..231596..432491..769915.1316060..2171675..3475284
%C .118154.275735.594789.1202495.2302608.4209720.7395049.12546170.20642874
%H R. H. Hardin, <a href="/A188236/b188236.txt">Table of n, a(n) for n = 1..521</a>
%e Some solutions for n=6 k=4
%e .-7...-8...-5...-8...-5...-7...-7...-3...-8...-8...-6...-6...-5...-7...-6...-5
%e .-4...-8...-3...-5...-5...-7...-4...-3...-4...-8...-6...-4...-4...-4...-2...-5
%e ..0...-4...-2...-4...-1...-1....1....1....0....0....2...-4....1....0...-1....1
%e ..2....6....0....3....1....0....2....1....3....2....2....2....1....1...-1....1
%e ..3....7....4....7....3....7....2....2....4....7....3....4....3....3....3....4
%e ..6....7....6....7....7....8....6....2....5....7....5....8....4....7....7....4
%Y Row 3 is A074148(n+1)
%K nonn,tabl
%O 1,3
%A _R. H. Hardin_ Mar 24 2011