cp's OEIS Frontend

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.

%I A188236 #7 Jul 22 2025 11:04:21
%S A188236 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 A188236 527,1082,1,8,31,121,374,1019,2395,5020,1,9,40,172,598,1818,4818,
%U A188236 11376,24040,1,10,49,234,903,3047,8964,23522,55368,118154,1,11,60,311,1317,4859
%N 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.
%C A188236 Table starts
%C A188236 ......1......1......1.......1.......1.......1.......1........1........1
%C A188236 ......2......3......4.......5.......6.......7.......8........9.......10
%C A188236 ......4......7.....12......17......24......31......40.......49.......60
%C A188236 .....15.....30.....52......81.....121.....172.....234......311......403
%C A188236 .....58....119....221.....374.....598.....903....1317.....1852.....2540
%C A188236 ....245....527...1019....1818....3047....4859....7435....10994....15791
%C A188236 ...1082...2395...4818....8964...15696...26123...41748....64370....96346
%C A188236 ...5020..11376..23522...45225...81981..141519..234413...374820...581280
%C A188236 ..24040..55368.117209..231596..432491..769915.1316060..2171675..3475284
%C A188236 .118154.275735.594789.1202495.2302608.4209720.7395049.12546170.20642874
%H A188236 R. H. Hardin, <a href="/A188236/b188236.txt">Table of n, a(n) for n = 1..521</a>
%e A188236 Some solutions for n=6 k=4
%e A188236 .-7...-8...-5...-8...-5...-7...-7...-3...-8...-8...-6...-6...-5...-7...-6...-5
%e A188236 .-4...-8...-3...-5...-5...-7...-4...-3...-4...-8...-6...-4...-4...-4...-2...-5
%e A188236 ..0...-4...-2...-4...-1...-1....1....1....0....0....2...-4....1....0...-1....1
%e A188236 ..2....6....0....3....1....0....2....1....3....2....2....2....1....1...-1....1
%e A188236 ..3....7....4....7....3....7....2....2....4....7....3....4....3....3....3....4
%e A188236 ..6....7....6....7....7....8....6....2....5....7....5....8....4....7....7....4
%Y A188236 Row 3 is A074148(n+1)
%K A188236 nonn,tabl
%O A188236 1,3
%A A188236 _R. H. Hardin_ Mar 24 2011