cp's OEIS Frontend

A188113 Number of strictly increasing arrangements of n nonzero numbers in -(2n-2)..(2n-2) with sum zero.

%I A188113 #8 Jul 22 2025 10:59:31
%S A188113 0,2,4,31,172,1154,8044,58595,439514,3379972,26513202,211413199,
%T A188113 1709183316,13981482114,115537553904,963234521237,8093123460146,
%U A188113 68468543003422,582819983344618,4988538052577712,42911585401063684
%N A188113 Number of strictly increasing arrangements of n nonzero numbers in -(2n-2)..(2n-2) with sum zero.
%C A188113 Diagonal of A188122
%H A188113 R. H. Hardin, <a href="/A188113/b188113.txt">Table of n, a(n) for n = 1..32</a>
%e A188113 Some solutions for n=6
%e A188113 -10...-9...-9...-8...-7...-7...-8...-8...-9...-9...-9..-10...-6...-7...-7...-8
%e A188113 .-6...-8...-4...-4...-6...-5...-6...-7...-7...-6...-5...-6...-4...-2...-3...-7
%e A188113 .-4...-5...-1...-2...-4...-2...-3...-6...-3...-4...-4....1...-3...-1...-1...-1
%e A188113 ..4....6....2....2....3....2...-2....5....1....2....2....4....2....1....1....4
%e A188113 ..6....7....5....4....4....5....9....6....8....7....6....5....4....2....2....5
%e A188113 .10....9....7....8...10....7...10...10...10...10...10....6....7....7....8....7
%K A188113 nonn
%O A188113 1,2
%A A188113 _R. H. Hardin_ Mar 21 2011