A224763 - cp's OEIS frontend

A224763 Define a sequence of rationals by S(1)=1; for n>=1, write S(1),...,S(n) as XY^k, Y nonempty, where the fractional exponent k is maximized, and set S(n+1)=k; sequence gives denominators of S(1), S(2), ...

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

[1, 1, 1, 1, 2, 1, 2, 1, 5, 1, 4, 1, 2, 3, 1, 3, 2, 4, 7, 1, 5, 12, 1, 3, 4, 7, 7, 1, 5, 4, 5, 2, 15, 1, 6, 1, 2, 5, 7, 13, 1, 5, 4, 13, 1, 4, 3, 23, 1, 4, 2, 14, 1, 4, 2, 4, 1, 4, 2, 4, 1, 53, 1, 6, 29, 1, 3, 20, 1, 3, 3, 1, 3, 3, 1, 14, 24, 1, 6, 15, 1, 3, 9, 1, 3, 3, 4, 29, 1, 5, 24, 14, 16, 1, 5, 5, 1, 3, 13, 1, 3, 3, 16]

cp's OEIS Frontend

A224763 Define a sequence of rationals by S(1)=1; for n>=1, write S(1),...,S(n) as XY^k, Y nonempty, where the fractional exponent k is maximized, and set S(n+1)=k; sequence gives denominators of S(1), S(2), ...

Table of values

List of values

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

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

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