A109301 - cp's OEIS frontend

A109301 a(n) = rhig(n) = rote height in gammas of n, where the "rote" corresponding to a positive integer n is a graph derived from the primes factorization of n, as illustrated in the comments.

n	a(n)
1	0
2	1
3	2
4	2
5	3
6	2
7	3
8	3
9	2
10	3
11	4
12	2
13	3
14	3
15	3
16	3
17	4
18	2
19	4
20	3
21	3
22	4
23	3
24	3
25	3
26	3
27	3
28	3
29	4
30	3
31	5
32	4
33	4
34	4
35	3
36	2
37	3
38	4
39	3
40	3
41	4
42	3
43	4
44	4
45	3
46	3
47	4
48	3
49	3
50	3
51	4
52	3
53	4
54	3
55	4
56	3
57	4
58	4
59	5
60	3
61	3
62	5
63	3
64	3
65	3
66	4
67	5
68	4
69	3
70	3
71	4
72	3
73	4
74	3
75	3
76	4
77	4
78	3
79	5
80	3
81	3
82	4
83	4
84	3
85	4
86	4
87	4
88	4
89	4
90	3
91	3
92	3
93	5
94	4
95	4
96	4
97	4
98	3
99	4
100	3

[0, 1, 2, 2, 3, 2, 3, 3, 2, 3, 4, 2, 3, 3, 3, 3, 4, 2, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 5, 4, 4, 4, 3, 2, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 4, 5, 3, 3, 5, 3, 3, 3, 4, 5, 4, 3, 3, 4, 3, 4, 3, 3, 4, 4, 3, 5, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 3, 5, 4, 4, 4, 4, 3, 4, 3]

cp's OEIS Frontend

A109301 a(n) = rhig(n) = rote height in gammas of n, where the "rote" corresponding to a positive integer n is a graph derived from the primes factorization of n, as illustrated in the comments.

Table of values

List of values

n	a(n)
1	0
2	1
3	2
4	2
5	3
6	2
7	3
8	3
9	2
10	3
11	4
12	2
13	3
14	3
15	3
16	3
17	4
18	2
19	4
20	3
21	3
22	4
23	3
24	3
25	3
26	3
27	3
28	3
29	4
30	3
31	5
32	4
33	4
34	4
35	3
36	2
37	3
38	4
39	3
40	3
41	4
42	3
43	4
44	4
45	3
46	3
47	4
48	3
49	3
50	3
51	4
52	3
53	4
54	3
55	4
56	3
57	4
58	4
59	5
60	3
61	3
62	5
63	3
64	3
65	3
66	4
67	5
68	4
69	3
70	3
71	4
72	3
73	4
74	3
75	3
76	4
77	4
78	3
79	5
80	3
81	3
82	4
83	4
84	3
85	4
86	4
87	4
88	4
89	4
90	3
91	3
92	3
93	5
94	4
95	4
96	4
97	4
98	3
99	4
100	3

n	a(n)
1	0
2	1
3	2
4	2
5	3
6	2
7	3
8	3
9	2
10	3
11	4
12	2
13	3
14	3
15	3
16	3
17	4
18	2
19	4
20	3
21	3
22	4
23	3
24	3
25	3
26	3
27	3
28	3
29	4
30	3
31	5
32	4
33	4
34	4
35	3
36	2
37	3
38	4
39	3
40	3
41	4
42	3
43	4
44	4
45	3
46	3
47	4
48	3
49	3
50	3
51	4
52	3
53	4
54	3
55	4
56	3
57	4
58	4
59	5
60	3
61	3
62	5
63	3
64	3
65	3
66	4
67	5
68	4
69	3
70	3
71	4
72	3
73	4
74	3
75	3
76	4
77	4
78	3
79	5
80	3
81	3
82	4
83	4
84	3
85	4
86	4
87	4
88	4
89	4
90	3
91	3
92	3
93	5
94	4
95	4
96	4
97	4
98	3
99	4
100	3

n	a(n)
1	0
2	1
3	2
4	2
5	3
6	2
7	3
8	3
9	2
10	3
11	4
12	2
13	3
14	3
15	3
16	3
17	4
18	2
19	4
20	3
21	3
22	4
23	3
24	3
25	3
26	3
27	3
28	3
29	4
30	3
31	5
32	4
33	4
34	4
35	3
36	2
37	3
38	4
39	3
40	3
41	4
42	3
43	4
44	4
45	3
46	3
47	4
48	3
49	3
50	3
51	4
52	3
53	4
54	3
55	4
56	3
57	4
58	4
59	5
60	3
61	3
62	5
63	3
64	3
65	3
66	4
67	5
68	4
69	3
70	3
71	4
72	3
73	4
74	3
75	3
76	4
77	4
78	3
79	5
80	3
81	3
82	4
83	4
84	3
85	4
86	4
87	4
88	4
89	4
90	3
91	3
92	3
93	5
94	4
95	4
96	4
97	4
98	3
99	4
100	3