A320871 - cp's OEIS frontend

A320871 List of all inequivalent 3 X 3 magic squares made of distinct positive integers, sorted by increasing sum. For each equivalence class modulo symmetries of the square, the lexicographically smallest representative is shown.

n	a(n)
1	2
2	7
3	6
4	9
5	5
6	1
7	4
8	3
9	8
10	2
11	9
12	7
13	11
14	6
15	1
16	5
17	3
18	10
19	3
20	7
21	8
22	11
23	6
24	1
25	4
26	5
27	9
28	3
29	8
30	7
31	10
32	6
33	2
34	5
35	4
36	9
37	2
38	11
39	8
40	13
41	7
42	1
43	6
44	3
45	12
46	3
47	10
48	8
49	12
50	7
51	2
52	6
53	4
54	11
55	4
56	8
57	9
58	12
59	7
60	2
61	5
62	6
63	10
64	4
65	9
66	8
67	11
68	7
69	3
70	6
71	5
72	10
73	2
74	13
75	9
76	15
77	8
78	1
79	7
80	3
81	14
82	3
83	11
84	10
85	15
86	8
87	1
88	6
89	5
90	13

[2, 7, 6, 9, 5, 1, 4, 3, 8, 2, 9, 7, 11, 6, 1, 5, 3, 10, 3, 7, 8, 11, 6, 1, 4, 5, 9, 3, 8, 7, 10, 6, 2, 5, 4, 9, 2, 11, 8, 13, 7, 1, 6, 3, 12, 3, 10, 8, 12, 7, 2, 6, 4, 11, 4, 8, 9, 12, 7, 2, 5, 6, 10, 4, 9, 8, 11, 7, 3, 6, 5, 10, 2, 13, 9, 15, 8, 1, 7, 3, 14, 3, 11, 10, 15, 8, 1, 6, 5, 13]

cp's OEIS Frontend

A320871 List of all inequivalent 3 X 3 magic squares made of distinct positive integers, sorted by increasing sum. For each equivalence class modulo symmetries of the square, the lexicographically smallest representative is shown.

Table of values

List of values

n	a(n)
1	2
2	7
3	6
4	9
5	5
6	1
7	4
8	3
9	8
10	2
11	9
12	7
13	11
14	6
15	1
16	5
17	3
18	10
19	3
20	7
21	8
22	11
23	6
24	1
25	4
26	5
27	9
28	3
29	8
30	7
31	10
32	6
33	2
34	5
35	4
36	9
37	2
38	11
39	8
40	13
41	7
42	1
43	6
44	3
45	12
46	3
47	10
48	8
49	12
50	7
51	2
52	6
53	4
54	11
55	4
56	8
57	9
58	12
59	7
60	2
61	5
62	6
63	10
64	4
65	9
66	8
67	11
68	7
69	3
70	6
71	5
72	10
73	2
74	13
75	9
76	15
77	8
78	1
79	7
80	3
81	14
82	3
83	11
84	10
85	15
86	8
87	1
88	6
89	5
90	13

n	a(n)
1	2
2	7
3	6
4	9
5	5
6	1
7	4
8	3
9	8
10	2
11	9
12	7
13	11
14	6
15	1
16	5
17	3
18	10
19	3
20	7
21	8
22	11
23	6
24	1
25	4
26	5
27	9
28	3
29	8
30	7
31	10
32	6
33	2
34	5
35	4
36	9
37	2
38	11
39	8
40	13
41	7
42	1
43	6
44	3
45	12
46	3
47	10
48	8
49	12
50	7
51	2
52	6
53	4
54	11
55	4
56	8
57	9
58	12
59	7
60	2
61	5
62	6
63	10
64	4
65	9
66	8
67	11
68	7
69	3
70	6
71	5
72	10
73	2
74	13
75	9
76	15
77	8
78	1
79	7
80	3
81	14
82	3
83	11
84	10
85	15
86	8
87	1
88	6
89	5
90	13

n	a(n)
1	2
2	7
3	6
4	9
5	5
6	1
7	4
8	3
9	8
10	2
11	9
12	7
13	11
14	6
15	1
16	5
17	3
18	10
19	3
20	7
21	8
22	11
23	6
24	1
25	4
26	5
27	9
28	3
29	8
30	7
31	10
32	6
33	2
34	5
35	4
36	9
37	2
38	11
39	8
40	13
41	7
42	1
43	6
44	3
45	12
46	3
47	10
48	8
49	12
50	7
51	2
52	6
53	4
54	11
55	4
56	8
57	9
58	12
59	7
60	2
61	5
62	6
63	10
64	4
65	9
66	8
67	11
68	7
69	3
70	6
71	5
72	10
73	2
74	13
75	9
76	15
77	8
78	1
79	7
80	3
81	14
82	3
83	11
84	10
85	15
86	8
87	1
88	6
89	5
90	13