A089080 - cp's OEIS frontend

A089080 Sequence is S(infinity) where S(1)={1,2} and S(n)=S(n-1)S'(n-1), where S'(k) is obtained from S(k) by replacing the single 1 with the least integer not occurring in S(k).

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

[1, 2, 3, 2, 4, 2, 3, 2, 5, 2, 3, 2, 4, 2, 3, 2, 6, 2, 3, 2, 4, 2, 3, 2, 5, 2, 3, 2, 4, 2, 3, 2, 7, 2, 3, 2, 4, 2, 3, 2, 5, 2, 3, 2, 4, 2, 3, 2, 6, 2, 3, 2, 4, 2, 3, 2, 5, 2, 3, 2, 4, 2, 3, 2, 8, 2, 3, 2, 4, 2, 3, 2, 5, 2, 3, 2, 4, 2, 3, 2, 6, 2, 3, 2, 4, 2, 3, 2, 5, 2, 3, 2, 4, 2, 3, 2, 7, 2, 3, 2, 4, 2, 3, 2, 5]

cp's OEIS Frontend

A089080 Sequence is S(infinity) where S(1)={1,2} and S(n)=S(n-1)S'(n-1), where S'(k) is obtained from S(k) by replacing the single 1 with the least integer not occurring in S(k).

Table of values

List of values

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

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

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