A328312 - cp's OEIS frontend

A328312 a(n) is the product of (1+A328311(x)) applied over all values x obtained when arithmetic derivative (A003415) is iterated starting from x=n, until 1 is encountered, or 0 if no 1 is ever encountered (in which case such product would be infinite).

n	a(n)
1	1
2	1
3	1
4	0
5	1
6	2
7	1
8	0
9	2
10	2
11	1
12	0
13	1
14	6
15	0
16	0
17	1
18	4
19	1
20	0
21	4
22	2
23	1
24	0
25	2
26	0
27	0
28	0
29	1
30	2
31	1
32	0
33	12
34	2
35	0
36	0
37	1
38	8
39	0
40	0
41	1
42	2
43	1
44	0
45	0
46	6
47	1
48	0
49	6
50	0
51	0
52	0
53	1
54	0
55	0
56	0
57	4
58	2
59	1
60	0
61	1
62	24
63	0
64	0
65	12
66	2
67	1
68	0
69	0
70	2
71	1
72	0
73	1
74	0
75	0
76	0
77	12
78	2
79	1
80	0
81	0
82	2
83	1
84	0
85	4
86	0
87	0
88	0
89	1
90	0
91	0
92	0
93	4
94	18
95	0
96	0
97	1
98	12
99	0
100	0
101	1
102	0
103	1
104	0
105	2

[1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 6, 0, 0, 1, 4, 1, 0, 4, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 12, 2, 0, 0, 1, 8, 0, 0, 1, 2, 1, 0, 0, 6, 1, 0, 6, 0, 0, 0, 1, 0, 0, 0, 4, 2, 1, 0, 1, 24, 0, 0, 12, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 12, 2, 1, 0, 0, 2, 1, 0, 4, 0, 0, 0, 1, 0, 0, 0, 4, 18, 0, 0, 1, 12, 0, 0, 1, 0, 1, 0, 2]

cp's OEIS Frontend

A328312 a(n) is the product of (1+A328311(x)) applied over all values x obtained when arithmetic derivative (A003415) is iterated starting from x=n, until 1 is encountered, or 0 if no 1 is ever encountered (in which case such product would be infinite).

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	0
5	1
6	2
7	1
8	0
9	2
10	2
11	1
12	0
13	1
14	6
15	0
16	0
17	1
18	4
19	1
20	0
21	4
22	2
23	1
24	0
25	2
26	0
27	0
28	0
29	1
30	2
31	1
32	0
33	12
34	2
35	0
36	0
37	1
38	8
39	0
40	0
41	1
42	2
43	1
44	0
45	0
46	6
47	1
48	0
49	6
50	0
51	0
52	0
53	1
54	0
55	0
56	0
57	4
58	2
59	1
60	0
61	1
62	24
63	0
64	0
65	12
66	2
67	1
68	0
69	0
70	2
71	1
72	0
73	1
74	0
75	0
76	0
77	12
78	2
79	1
80	0
81	0
82	2
83	1
84	0
85	4
86	0
87	0
88	0
89	1
90	0
91	0
92	0
93	4
94	18
95	0
96	0
97	1
98	12
99	0
100	0
101	1
102	0
103	1
104	0
105	2

n	a(n)
1	1
2	1
3	1
4	0
5	1
6	2
7	1
8	0
9	2
10	2
11	1
12	0
13	1
14	6
15	0
16	0
17	1
18	4
19	1
20	0
21	4
22	2
23	1
24	0
25	2
26	0
27	0
28	0
29	1
30	2
31	1
32	0
33	12
34	2
35	0
36	0
37	1
38	8
39	0
40	0
41	1
42	2
43	1
44	0
45	0
46	6
47	1
48	0
49	6
50	0
51	0
52	0
53	1
54	0
55	0
56	0
57	4
58	2
59	1
60	0
61	1
62	24
63	0
64	0
65	12
66	2
67	1
68	0
69	0
70	2
71	1
72	0
73	1
74	0
75	0
76	0
77	12
78	2
79	1
80	0
81	0
82	2
83	1
84	0
85	4
86	0
87	0
88	0
89	1
90	0
91	0
92	0
93	4
94	18
95	0
96	0
97	1
98	12
99	0
100	0
101	1
102	0
103	1
104	0
105	2

n	a(n)
1	1
2	1
3	1
4	0
5	1
6	2
7	1
8	0
9	2
10	2
11	1
12	0
13	1
14	6
15	0
16	0
17	1
18	4
19	1
20	0
21	4
22	2
23	1
24	0
25	2
26	0
27	0
28	0
29	1
30	2
31	1
32	0
33	12
34	2
35	0
36	0
37	1
38	8
39	0
40	0
41	1
42	2
43	1
44	0
45	0
46	6
47	1
48	0
49	6
50	0
51	0
52	0
53	1
54	0
55	0
56	0
57	4
58	2
59	1
60	0
61	1
62	24
63	0
64	0
65	12
66	2
67	1
68	0
69	0
70	2
71	1
72	0
73	1
74	0
75	0
76	0
77	12
78	2
79	1
80	0
81	0
82	2
83	1
84	0
85	4
86	0
87	0
88	0
89	1
90	0
91	0
92	0
93	4
94	18
95	0
96	0
97	1
98	12
99	0
100	0
101	1
102	0
103	1
104	0
105	2