A272259 - cp's OEIS frontend

A272259 Irregular triangle read by rows: Row n >= 32 gives the smallest square loop, i.e., lexicographically earliest circular permutation of length n such that any two adjacent numbers sum to a perfect square.

n	a(n)
32	1
33	8
34	28
35	21
36	4
37	32
38	17
39	19
40	30
41	6
42	3
43	13
44	12
45	24
46	25
47	11
48	5
49	31
50	18
51	7
52	29
53	20
54	16
55	9
56	27
57	22
58	14
59	2
60	23
61	26
62	10
63	15
64	1
65	8
66	28
67	21
68	4
69	32
70	17
71	19
72	30
73	6
74	3
75	13
76	12
77	24
78	25
79	11
80	5
81	20
82	29
83	7
84	18
85	31
86	33
87	16
88	9
89	27
90	22
91	14
92	2
93	23
94	26
95	10
96	15
97	1
98	3
99	13
100	12
101	4
102	32
103	17
104	8
105	28
106	21
107	15
108	34
109	30
110	19
111	6
112	10
113	26
114	23
115	2
116	14
117	22
118	27
119	9
120	16
121	33
122	31
123	18
124	7
125	29
126	20
127	5
128	11
129	25
130	24

[1, 8, 28, 21, 4, 32, 17, 19, 30, 6, 3, 13, 12, 24, 25, 11, 5, 31, 18, 7, 29, 20, 16, 9, 27, 22, 14, 2, 23, 26, 10, 15, 1, 8, 28, 21, 4, 32, 17, 19, 30, 6, 3, 13, 12, 24, 25, 11, 5, 20, 29, 7, 18, 31, 33, 16, 9, 27, 22, 14, 2, 23, 26, 10, 15, 1, 3, 13, 12, 4, 32, 17, 8, 28, 21, 15, 34, 30, 19, 6, 10, 26, 23, 2, 14, 22, 27, 9, 16, 33, 31, 18, 7, 29, 20, 5, 11, 25, 24]

cp's OEIS Frontend

A272259 Irregular triangle read by rows: Row n >= 32 gives the smallest square loop, i.e., lexicographically earliest circular permutation of length n such that any two adjacent numbers sum to a perfect square.

Table of values

List of values

n	a(n)
32	1
33	8
34	28
35	21
36	4
37	32
38	17
39	19
40	30
41	6
42	3
43	13
44	12
45	24
46	25
47	11
48	5
49	31
50	18
51	7
52	29
53	20
54	16
55	9
56	27
57	22
58	14
59	2
60	23
61	26
62	10
63	15
64	1
65	8
66	28
67	21
68	4
69	32
70	17
71	19
72	30
73	6
74	3
75	13
76	12
77	24
78	25
79	11
80	5
81	20
82	29
83	7
84	18
85	31
86	33
87	16
88	9
89	27
90	22
91	14
92	2
93	23
94	26
95	10
96	15
97	1
98	3
99	13
100	12
101	4
102	32
103	17
104	8
105	28
106	21
107	15
108	34
109	30
110	19
111	6
112	10
113	26
114	23
115	2
116	14
117	22
118	27
119	9
120	16
121	33
122	31
123	18
124	7
125	29
126	20
127	5
128	11
129	25
130	24

n	a(n)
32	1
33	8
34	28
35	21
36	4
37	32
38	17
39	19
40	30
41	6
42	3
43	13
44	12
45	24
46	25
47	11
48	5
49	31
50	18
51	7
52	29
53	20
54	16
55	9
56	27
57	22
58	14
59	2
60	23
61	26
62	10
63	15
64	1
65	8
66	28
67	21
68	4
69	32
70	17
71	19
72	30
73	6
74	3
75	13
76	12
77	24
78	25
79	11
80	5
81	20
82	29
83	7
84	18
85	31
86	33
87	16
88	9
89	27
90	22
91	14
92	2
93	23
94	26
95	10
96	15
97	1
98	3
99	13
100	12
101	4
102	32
103	17
104	8
105	28
106	21
107	15
108	34
109	30
110	19
111	6
112	10
113	26
114	23
115	2
116	14
117	22
118	27
119	9
120	16
121	33
122	31
123	18
124	7
125	29
126	20
127	5
128	11
129	25
130	24

n	a(n)
32	1
33	8
34	28
35	21
36	4
37	32
38	17
39	19
40	30
41	6
42	3
43	13
44	12
45	24
46	25
47	11
48	5
49	31
50	18
51	7
52	29
53	20
54	16
55	9
56	27
57	22
58	14
59	2
60	23
61	26
62	10
63	15
64	1
65	8
66	28
67	21
68	4
69	32
70	17
71	19
72	30
73	6
74	3
75	13
76	12
77	24
78	25
79	11
80	5
81	20
82	29
83	7
84	18
85	31
86	33
87	16
88	9
89	27
90	22
91	14
92	2
93	23
94	26
95	10
96	15
97	1
98	3
99	13
100	12
101	4
102	32
103	17
104	8
105	28
106	21
107	15
108	34
109	30
110	19
111	6
112	10
113	26
114	23
115	2
116	14
117	22
118	27
119	9
120	16
121	33
122	31
123	18
124	7
125	29
126	20
127	5
128	11
129	25
130	24