%I #5 Mar 31 2012 12:36:10
%S 12,17,25,34,46,57,75,88,108,125,147,170,196,217,249,280,316,345,387,
%T 422,466,501,545,588,644,687,743,792,850,901,973,1034,1100,1157,1227,
%U 1294,1374,1435,1519,1594,1682,1757,1847,1930,2026,2103,2205,2294,2404,2491
%N Number of nondecreasing arrangements of 4 numbers x(i) in -(n+2)..(n+2) with the sum of sign(x(i))*x(i)^2 zero
%C Row 4 of A188002
%H R. H. Hardin, <a href="/A188004/b188004.txt">Table of n, a(n) for n = 1..199</a>
%e Some solutions for n=3
%e ..0...-5...-2...-4...-3...-5...-4...-2...-3...-5...-5...-4...-2...-5...-5...-4
%e ..0...-2...-2...-4....0...-5...-2....0....1...-4...-1....0...-2....0....0...-1
%e ..0....2...-1....4....0....5....2....0....2....4....1....0....2....0....3....1
%e ..0....5....3....4....3....5....4....2....2....5....5....4....2....5....4....4
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 18 2011