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Number of strictly increasing arrangements of n numbers in -(n+4)..(n+4) with sum zero
1

%I #5 Mar 31 2012 12:36:11

%S 1,6,25,104,414,1636,6375,24591,94257,360002,1371535,5216252,19819846,

%T 75277670,285893124,1085984406,4126777398,15690144942,59691687518,

%U 227248928264,865788366806,3301087870766,12596381911969,48104063936789

%N Number of strictly increasing arrangements of n numbers in -(n+4)..(n+4) with sum zero

%C Column 6 of A188181

%H R. H. Hardin, <a href="/A188178/b188178.txt">Table of n, a(n) for n = 1..27</a>

%e Some solutions for n=5

%e .-7...-4...-9...-9...-8...-8...-6...-6...-7...-5...-7...-9...-5...-9...-9...-5

%e .-5...-2...-2...-6...-4...-6...-4...-5...-6...-3...-4...-1...-3...-5...-5...-4

%e ..0....0....2....3....1...-3...-2....0....0...-1...-3....0....0....2...-2....0

%e ..5....1....4....5....2....8....4....3....5....4....6....3....3....4....7....4

%e ..7....5....5....7....9....9....8....8....8....5....8....7....5....8....9....5

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 23 2011