A266117 - cp's OEIS frontend

A266117 Lexicographically first injection of positive integers beginning with a(1) such that a(n)*a(n+1) is a term of A265349, i.e., has no multiple occurrences of any nonzero digit when viewed in factorial base (A007623).

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	10
7	11
8	6
9	7
10	12
11	8
12	9
13	24
14	13
15	18
16	19
17	26
18	14
19	17
20	22
21	21
22	16
23	15
24	32
25	30
26	20
27	23
28	29
29	42
30	28
31	25
32	48
33	34
34	53
35	41
36	54
37	27
38	40
39	33
40	36
41	37
42	61
43	65
44	44
45	49
46	72
47	39
48	38
49	51
50	52
51	55
52	59
53	47
54	46
55	58
56	50
57	60
58	62
59	31
60	66
61	56
62	57
63	64
64	45
65	80
66	63
67	74
68	69
69	68
70	35
71	79
72	100
73	73
74	43
75	67
76	70
77	71
78	78
79	84
80	87
81	92
82	90
83	76
84	96
85	75

[1, 2, 3, 4, 5, 10, 11, 6, 7, 12, 8, 9, 24, 13, 18, 19, 26, 14, 17, 22, 21, 16, 15, 32, 30, 20, 23, 29, 42, 28, 25, 48, 34, 53, 41, 54, 27, 40, 33, 36, 37, 61, 65, 44, 49, 72, 39, 38, 51, 52, 55, 59, 47, 46, 58, 50, 60, 62, 31, 66, 56, 57, 64, 45, 80, 63, 74, 69, 68, 35, 79, 100, 73, 43, 67, 70, 71, 78, 84, 87, 92, 90, 76, 96, 75]

cp's OEIS Frontend

A266117 Lexicographically first injection of positive integers beginning with a(1) such that a(n)*a(n+1) is a term of A265349, i.e., has no multiple occurrences of any nonzero digit when viewed in factorial base (A007623).

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	10
7	11
8	6
9	7
10	12
11	8
12	9
13	24
14	13
15	18
16	19
17	26
18	14
19	17
20	22
21	21
22	16
23	15
24	32
25	30
26	20
27	23
28	29
29	42
30	28
31	25
32	48
33	34
34	53
35	41
36	54
37	27
38	40
39	33
40	36
41	37
42	61
43	65
44	44
45	49
46	72
47	39
48	38
49	51
50	52
51	55
52	59
53	47
54	46
55	58
56	50
57	60
58	62
59	31
60	66
61	56
62	57
63	64
64	45
65	80
66	63
67	74
68	69
69	68
70	35
71	79
72	100
73	73
74	43
75	67
76	70
77	71
78	78
79	84
80	87
81	92
82	90
83	76
84	96
85	75

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	10
7	11
8	6
9	7
10	12
11	8
12	9
13	24
14	13
15	18
16	19
17	26
18	14
19	17
20	22
21	21
22	16
23	15
24	32
25	30
26	20
27	23
28	29
29	42
30	28
31	25
32	48
33	34
34	53
35	41
36	54
37	27
38	40
39	33
40	36
41	37
42	61
43	65
44	44
45	49
46	72
47	39
48	38
49	51
50	52
51	55
52	59
53	47
54	46
55	58
56	50
57	60
58	62
59	31
60	66
61	56
62	57
63	64
64	45
65	80
66	63
67	74
68	69
69	68
70	35
71	79
72	100
73	73
74	43
75	67
76	70
77	71
78	78
79	84
80	87
81	92
82	90
83	76
84	96
85	75

n	a(n)
1	1
2	2
3	3
4	4
5	5
6	10
7	11
8	6
9	7
10	12
11	8
12	9
13	24
14	13
15	18
16	19
17	26
18	14
19	17
20	22
21	21
22	16
23	15
24	32
25	30
26	20
27	23
28	29
29	42
30	28
31	25
32	48
33	34
34	53
35	41
36	54
37	27
38	40
39	33
40	36
41	37
42	61
43	65
44	44
45	49
46	72
47	39
48	38
49	51
50	52
51	55
52	59
53	47
54	46
55	58
56	50
57	60
58	62
59	31
60	66
61	56
62	57
63	64
64	45
65	80
66	63
67	74
68	69
69	68
70	35
71	79
72	100
73	73
74	43
75	67
76	70
77	71
78	78
79	84
80	87
81	92
82	90
83	76
84	96
85	75