A354434 - cp's OEIS frontend

A354434 a(1) = 1; for n > 1, a(n) is the smallest unused square spiral number such that a(n) shares a factor with all existing numbers in its Moore neighborhood.

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	9
7	12
8	18
9	8
10	10
11	14
12	16
13	20
14	22
15	24
16	15
17	21
18	27
19	30
20	33
21	36
22	39
23	26
24	28
25	32
26	34
27	38
28	40
29	42
30	44
31	46
32	48
33	50
34	54
35	45
36	35
37	7
38	63
39	51
40	57
41	60
42	66
43	52
44	72
45	78
46	84
47	56
48	58
49	62
50	64
51	68
52	70
53	74
54	76
55	80
56	82
57	86
58	88
59	90
60	75
61	96
62	100
63	105
64	49
65	77
66	91
67	119
68	102
69	69
70	81
71	108
72	92
73	94
74	98
75	104

[1, 2, 4, 6, 3, 9, 12, 18, 8, 10, 14, 16, 20, 22, 24, 15, 21, 27, 30, 33, 36, 39, 26, 28, 32, 34, 38, 40, 42, 44, 46, 48, 50, 54, 45, 35, 7, 63, 51, 57, 60, 66, 52, 72, 78, 84, 56, 58, 62, 64, 68, 70, 74, 76, 80, 82, 86, 88, 90, 75, 96, 100, 105, 49, 77, 91, 119, 102, 69, 81, 108, 92, 94, 98, 104]

cp's OEIS Frontend

A354434 a(1) = 1; for n > 1, a(n) is the smallest unused square spiral number such that a(n) shares a factor with all existing numbers in its Moore neighborhood.

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	9
7	12
8	18
9	8
10	10
11	14
12	16
13	20
14	22
15	24
16	15
17	21
18	27
19	30
20	33
21	36
22	39
23	26
24	28
25	32
26	34
27	38
28	40
29	42
30	44
31	46
32	48
33	50
34	54
35	45
36	35
37	7
38	63
39	51
40	57
41	60
42	66
43	52
44	72
45	78
46	84
47	56
48	58
49	62
50	64
51	68
52	70
53	74
54	76
55	80
56	82
57	86
58	88
59	90
60	75
61	96
62	100
63	105
64	49
65	77
66	91
67	119
68	102
69	69
70	81
71	108
72	92
73	94
74	98
75	104

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	9
7	12
8	18
9	8
10	10
11	14
12	16
13	20
14	22
15	24
16	15
17	21
18	27
19	30
20	33
21	36
22	39
23	26
24	28
25	32
26	34
27	38
28	40
29	42
30	44
31	46
32	48
33	50
34	54
35	45
36	35
37	7
38	63
39	51
40	57
41	60
42	66
43	52
44	72
45	78
46	84
47	56
48	58
49	62
50	64
51	68
52	70
53	74
54	76
55	80
56	82
57	86
58	88
59	90
60	75
61	96
62	100
63	105
64	49
65	77
66	91
67	119
68	102
69	69
70	81
71	108
72	92
73	94
74	98
75	104

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	9
7	12
8	18
9	8
10	10
11	14
12	16
13	20
14	22
15	24
16	15
17	21
18	27
19	30
20	33
21	36
22	39
23	26
24	28
25	32
26	34
27	38
28	40
29	42
30	44
31	46
32	48
33	50
34	54
35	45
36	35
37	7
38	63
39	51
40	57
41	60
42	66
43	52
44	72
45	78
46	84
47	56
48	58
49	62
50	64
51	68
52	70
53	74
54	76
55	80
56	82
57	86
58	88
59	90
60	75
61	96
62	100
63	105
64	49
65	77
66	91
67	119
68	102
69	69
70	81
71	108
72	92
73	94
74	98
75	104