A347236 - cp's OEIS frontend

A347236 a(n) = Sum_{d|n} A061019(d) * A003961(n/d), where A061019 negates the primes in the prime factorization, while A003961 shifts the factorization one step towards larger primes.

n	a(n)
1	1
2	1
3	2
4	7
5	2
6	2
7	4
8	13
9	19
10	2
11	2
12	14
13	4
14	4
15	4
16	55
17	2
18	19
19	4
20	14
21	8
22	2
23	6
24	26
25	39
26	4
27	68
28	28
29	2
30	4
31	6
32	133
33	4
34	2
35	8
36	133
37	4
38	4
39	8
40	26
41	2
42	8
43	4
44	14
45	38
46	6
47	6
48	110
49	93
50	39
51	4
52	28
53	6
54	68
55	4
56	52
57	8
58	2
59	2
60	28
61	6
62	6
63	76
64	463
65	8
66	4
67	4
68	14
69	12
70	8
71	2
72	247
73	6
74	4
75	78
76	28
77	8
78	8
79	4
80	110
81	421
82	2
83	6
84	56
85	4
86	4
87	4
88	26
89	8
90	38
91	16

[1, 1, 2, 7, 2, 2, 4, 13, 19, 2, 2, 14, 4, 4, 4, 55, 2, 19, 4, 14, 8, 2, 6, 26, 39, 4, 68, 28, 2, 4, 6, 133, 4, 2, 8, 133, 4, 4, 8, 26, 2, 8, 4, 14, 38, 6, 6, 110, 93, 39, 4, 28, 6, 68, 4, 52, 8, 2, 2, 28, 6, 6, 76, 463, 8, 4, 4, 14, 12, 8, 2, 247, 6, 4, 78, 28, 8, 8, 4, 110, 421, 2, 6, 56, 4, 4, 4, 26, 8, 38, 16]

cp's OEIS Frontend

A347236 a(n) = Sum_{d|n} A061019(d) * A003961(n/d), where A061019 negates the primes in the prime factorization, while A003961 shifts the factorization one step towards larger primes.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	7
5	2
6	2
7	4
8	13
9	19
10	2
11	2
12	14
13	4
14	4
15	4
16	55
17	2
18	19
19	4
20	14
21	8
22	2
23	6
24	26
25	39
26	4
27	68
28	28
29	2
30	4
31	6
32	133
33	4
34	2
35	8
36	133
37	4
38	4
39	8
40	26
41	2
42	8
43	4
44	14
45	38
46	6
47	6
48	110
49	93
50	39
51	4
52	28
53	6
54	68
55	4
56	52
57	8
58	2
59	2
60	28
61	6
62	6
63	76
64	463
65	8
66	4
67	4
68	14
69	12
70	8
71	2
72	247
73	6
74	4
75	78
76	28
77	8
78	8
79	4
80	110
81	421
82	2
83	6
84	56
85	4
86	4
87	4
88	26
89	8
90	38
91	16

n	a(n)
1	1
2	1
3	2
4	7
5	2
6	2
7	4
8	13
9	19
10	2
11	2
12	14
13	4
14	4
15	4
16	55
17	2
18	19
19	4
20	14
21	8
22	2
23	6
24	26
25	39
26	4
27	68
28	28
29	2
30	4
31	6
32	133
33	4
34	2
35	8
36	133
37	4
38	4
39	8
40	26
41	2
42	8
43	4
44	14
45	38
46	6
47	6
48	110
49	93
50	39
51	4
52	28
53	6
54	68
55	4
56	52
57	8
58	2
59	2
60	28
61	6
62	6
63	76
64	463
65	8
66	4
67	4
68	14
69	12
70	8
71	2
72	247
73	6
74	4
75	78
76	28
77	8
78	8
79	4
80	110
81	421
82	2
83	6
84	56
85	4
86	4
87	4
88	26
89	8
90	38
91	16

n	a(n)
1	1
2	1
3	2
4	7
5	2
6	2
7	4
8	13
9	19
10	2
11	2
12	14
13	4
14	4
15	4
16	55
17	2
18	19
19	4
20	14
21	8
22	2
23	6
24	26
25	39
26	4
27	68
28	28
29	2
30	4
31	6
32	133
33	4
34	2
35	8
36	133
37	4
38	4
39	8
40	26
41	2
42	8
43	4
44	14
45	38
46	6
47	6
48	110
49	93
50	39
51	4
52	28
53	6
54	68
55	4
56	52
57	8
58	2
59	2
60	28
61	6
62	6
63	76
64	463
65	8
66	4
67	4
68	14
69	12
70	8
71	2
72	247
73	6
74	4
75	78
76	28
77	8
78	8
79	4
80	110
81	421
82	2
83	6
84	56
85	4
86	4
87	4
88	26
89	8
90	38
91	16