A340114 - cp's OEIS frontend

A340114 Table T(n,k), n>=1, k>=1, row n being the lexicographically earliest of the longest sequences of distinct positive integers in which the k-th term does not exceed n*k and the smaller of adjacent terms divides the larger, giving a prime.

n	a(n)
1	1
2	2
3	1
4	3
5	6
6	2
7	4
8	8
9	1
10	2
11	4
12	12
13	6
14	18
15	9
16	3
17	15
18	30
19	10
20	5
21	35
22	7
23	21
24	42
25	14
26	28
27	56
28	8
29	16
30	48
31	24
32	72
33	36
34	2
35	1
36	3
37	9
38	18
39	6
40	12
41	24
42	8
43	40
44	20
45	10
46	5
47	55
48	11
49	33
50	66
51	22
52	44
53	4
54	52
55	26
56	78
57	39
58	13
59	91
60	7
61	49
62	98
63	14
64	42
65	126
66	63
67	21
68	105
69	15
70	45
71	135
72	27
73	81

[1, 2, 1, 3, 6, 2, 4, 8, 1, 2, 4, 12, 6, 18, 9, 3, 15, 30, 10, 5, 35, 7, 21, 42, 14, 28, 56, 8, 16, 48, 24, 72, 36, 2, 1, 3, 9, 18, 6, 12, 24, 8, 40, 20, 10, 5, 55, 11, 33, 66, 22, 44, 4, 52, 26, 78, 39, 13, 91, 7, 49, 98, 14, 42, 126, 63, 21, 105, 15, 45, 135, 27, 81]

cp's OEIS Frontend

A340114 Table T(n,k), n>=1, k>=1, row n being the lexicographically earliest of the longest sequences of distinct positive integers in which the k-th term does not exceed n*k and the smaller of adjacent terms divides the larger, giving a prime.

Table of values

List of values

n	a(n)
1	1
2	2
3	1
4	3
5	6
6	2
7	4
8	8
9	1
10	2
11	4
12	12
13	6
14	18
15	9
16	3
17	15
18	30
19	10
20	5
21	35
22	7
23	21
24	42
25	14
26	28
27	56
28	8
29	16
30	48
31	24
32	72
33	36
34	2
35	1
36	3
37	9
38	18
39	6
40	12
41	24
42	8
43	40
44	20
45	10
46	5
47	55
48	11
49	33
50	66
51	22
52	44
53	4
54	52
55	26
56	78
57	39
58	13
59	91
60	7
61	49
62	98
63	14
64	42
65	126
66	63
67	21
68	105
69	15
70	45
71	135
72	27
73	81

n	a(n)
1	1
2	2
3	1
4	3
5	6
6	2
7	4
8	8
9	1
10	2
11	4
12	12
13	6
14	18
15	9
16	3
17	15
18	30
19	10
20	5
21	35
22	7
23	21
24	42
25	14
26	28
27	56
28	8
29	16
30	48
31	24
32	72
33	36
34	2
35	1
36	3
37	9
38	18
39	6
40	12
41	24
42	8
43	40
44	20
45	10
46	5
47	55
48	11
49	33
50	66
51	22
52	44
53	4
54	52
55	26
56	78
57	39
58	13
59	91
60	7
61	49
62	98
63	14
64	42
65	126
66	63
67	21
68	105
69	15
70	45
71	135
72	27
73	81

n	a(n)
1	1
2	2
3	1
4	3
5	6
6	2
7	4
8	8
9	1
10	2
11	4
12	12
13	6
14	18
15	9
16	3
17	15
18	30
19	10
20	5
21	35
22	7
23	21
24	42
25	14
26	28
27	56
28	8
29	16
30	48
31	24
32	72
33	36
34	2
35	1
36	3
37	9
38	18
39	6
40	12
41	24
42	8
43	40
44	20
45	10
46	5
47	55
48	11
49	33
50	66
51	22
52	44
53	4
54	52
55	26
56	78
57	39
58	13
59	91
60	7
61	49
62	98
63	14
64	42
65	126
66	63
67	21
68	105
69	15
70	45
71	135
72	27
73	81