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Number of nondecreasing arrangements of n numbers in -5..5 with sum zero and sum of squares less than n*30/3
1

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

%S 1,4,12,36,89,211,457,938,1828,3390,6009,10328,17191,27843,43962,

%T 67932,102768,152734,223096,320963,455194,637179,880985,1204511,

%U 1629348,2182512,2896434,3810960,4973139,6440436,8280160,10572838,13412773

%N Number of nondecreasing arrangements of n numbers in -5..5 with sum zero and sum of squares less than n*30/3

%C Column 5 of A183935

%H R. H. Hardin, <a href="/A183931/b183931.txt">Table of n, a(n) for n = 1..169</a>

%e Some solutions for n=4

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

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

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

%e ..1....3....3....1....3....3....3....2....1....4....4....3....2....4....2....1

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 08 2011