A334744 - cp's OEIS frontend

A334744 a(1) = 1; a(n) = -Sum_{d|n, d < n} bigomega(n/d) * a(d), where bigomega = A001222.

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

[1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 2, -1, 0, 0, 1, -1, 2, -1, 2, 0, 0, -1, 2, -1, 0, 0, 2, -1, 3, -1, 1, 0, 0, 0, 2, -1, 0, 0, 2, -1, 3, -1, 2, 2, 0, -1, -1, -1, 2, 0, 2, -1, 2, 0, 2, 0, 0, -1, 0, -1, 0, 2, 0, 0, 3, -1, 2, 0, 3, -1, -3, -1, 0, 2, 2, 0, 3, -1, -1, 1, 0, -1, 0, 0, 0, 0, 2, -1, 0, 0, 2]

cp's OEIS Frontend

A334744 a(1) = 1; a(n) = -Sum_{d|n, d < n} bigomega(n/d) * a(d), where bigomega = A001222.

Table of values

List of values

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

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

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