A019269 - cp's OEIS frontend

A019269 Let Dedekind's psi(m) = product of (p+1)p^(e-1) for primes p, where p^e is a factor of m. Iterating psi(m) eventually results in a number of form 2^a*3^b. a(n) is the number of steps to reach such a number.

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

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

cp's OEIS Frontend

A019269 Let Dedekind's psi(m) = product of (p+1)p^(e-1) for primes p, where p^e is a factor of m. Iterating psi(m) eventually results in a number of form 2^a*3^b. a(n) is the number of steps to reach such a number.

Table of values

List of values

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

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

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