A353484 - cp's OEIS frontend

A353484 a(1) = 0; and for n > 1, a(n) = A165560(n) + a(A064989(n)), where A165560 is the parity of arithmetic derivative, and A064989 shifts the prime factorization of its argument one step toward lower primes.

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

[0, 1, 2, 0, 3, 2, 4, 0, 0, 3, 5, 1, 6, 4, 2, 0, 7, 1, 8, 2, 3, 5, 9, 1, 0, 6, 1, 3, 10, 3, 11, 0, 4, 7, 2, 0, 12, 8, 5, 2, 13, 4, 14, 4, 2, 9, 15, 1, 0, 1, 6, 5, 16, 1, 3, 3, 7, 10, 17, 2, 18, 11, 3, 0, 4, 5, 19, 6, 8, 3, 20, 0, 21, 12, 2, 7, 2, 6, 22, 2, 0, 13, 23, 3, 5, 14, 9, 4, 24, 2, 3, 8, 10, 15, 6, 1, 25]

cp's OEIS Frontend

A353484 a(1) = 0; and for n > 1, a(n) = A165560(n) + a(A064989(n)), where A165560 is the parity of arithmetic derivative, and A064989 shifts the prime factorization of its argument one step toward lower primes.

Table of values

List of values

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

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

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