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A224444 Multiplicities for representations of nonnegative numbers as primitive sums of three squares of integers (square 0 allowed).

Table of values

n a(n)
0 0
1 1
2 1
3 1
4 0
5 1
6 1
7 0
8 0
9 1
10 1
11 1
12 0
13 1
14 1
15 0
16 0
17 2
18 1
19 1
20 0
21 1
22 1
23 0
24 0
25 1
26 2
27 1
28 0
29 2
30 1
31 0
32 0
33 2
34 2
35 1
36 0
37 1
38 2
39 0
40 0
41 3
42 1
43 1
44 0
45 1
46 1
47 0
48 0
49 1
50 2
51 2
52 0
53 2
54 2
55 0
56 0
57 2
58 1
59 2
60 0
61 2
62 2
63 0
64 0
65 3
66 3
67 1
68 0
69 2
70 1
71 0
72 0
73 2
74 3
75 1
76 0
77 2
78 1
79 0
80 0
81 2
82 2
83 2
84 0
85 2
86 3
87 0
88 0
89 4
90 2
91 1
92 0
93 1
94 2
95 0
96 0
97 2
98 2
99 2
100 0
101 4
102 2
103 0
104 0
105 2
106 2
107 2
108 0
109 2
110 3
111 0
112 0
113 3
114 3
115 1
116 0
117 2
118 2
119 0
120 0
121 2
122 3
123 2
124 0
125 3

List of values

[0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 3, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 3, 3, 1, 0, 2, 1, 0, 0, 2, 3, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 3, 0, 0, 4, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 4, 2, 0, 0, 2, 2, 2, 0, 2, 3, 0, 0, 3, 3, 1, 0, 2, 2, 0, 0, 2, 3, 2, 0, 3]