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Number of strictly increasing arrangements of n nonzero numbers in -(2n-2)..(2n-2) with sum zero
1

%I #6 Mar 31 2012 12:36:10

%S 0,2,4,31,172,1154,8044,58595,439514,3379972,26513202,211413199,

%T 1709183316,13981482114,115537553904,963234521237,8093123460146,

%U 68468543003422,582819983344618,4988538052577712,42911585401063684

%N Number of strictly increasing arrangements of n nonzero numbers in -(2n-2)..(2n-2) with sum zero

%C Diagonal of A188122

%H R. H. Hardin, <a href="/A188113/b188113.txt">Table of n, a(n) for n = 1..32</a>

%e Some solutions for n=6

%e -10...-9...-9...-8...-7...-7...-8...-8...-9...-9...-9..-10...-6...-7...-7...-8

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

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

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

%e ..6....7....5....4....4....5....9....6....8....7....6....5....4....2....2....5

%e .10....9....7....8...10....7...10...10...10...10...10....6....7....7....8....7

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 21 2011