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Number of nondecreasing arrangements of n numbers in -5..5 with sum zero and sum of squares not greater than n*30/3
1

%I #5 Mar 31 2012 12:35:55

%S 1,4,12,37,93,220,476,979,1888,3493,6187,10619,17646,28558,45007,

%T 69453,104985,155861,227488,327057,463466,648333,895855,1224083,

%U 1654923,2215739,2939098,3865358,5042160,6527147,8388454,10707515,13578946

%N Number of nondecreasing arrangements of n numbers in -5..5 with sum zero and sum of squares not greater than n*30/3

%C Column 5 of A183927

%H R. H. Hardin, <a href="/A183923/b183923.txt">Table of n, a(n) for n = 1..169</a>

%e Some solutions for n=4

%e .-5...-5...-3...-3...-2...-3...-4....0...-4...-4...-2...-3...-2...-1...-2...-3

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

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

%e ..2....3....3....4....3....2....3....0....3....2....2....5....4....3....2....4

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 08 2011