A224762 - cp's OEIS frontend

A224762 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 numerators of S(1), S(2), ...

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

[1, 1, 2, 1, 3, 1, 3, 2, 6, 1, 5, 1, 3, 4, 1, 4, 3, 5, 8, 1, 6, 13, 1, 4, 5, 8, 9, 1, 6, 5, 6, 3, 16, 1, 7, 1, 3, 6, 8, 14, 1, 6, 5, 16, 1, 5, 4, 24, 1, 5, 3, 15, 1, 5, 3, 7, 1, 5, 3, 7, 2, 54, 1, 7, 31, 1, 4, 21, 1, 4, 5, 1, 4, 5, 2, 15, 25, 1, 7, 17, 1, 4, 11, 1, 4, 5, 5, 30, 1, 6, 25, 15, 17, 1, 6, 7, 1, 4, 15, 1, 4, 5, 19]

cp's OEIS Frontend

A224762 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 numerators of S(1), S(2), ...

Table of values

List of values

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

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

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