A054525 - cp's OEIS frontend

A054525 Triangle T(n,k): T(n,k) = mu(n/k) if k divides n, T(n,k) = 0 otherwise (n >= 1, 1 <= k <= n).

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

[1, -1, 1, -1, 0, 1, 0, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]

cp's OEIS Frontend

A054525 Triangle T(n,k): T(n,k) = mu(n/k) if k divides n, T(n,k) = 0 otherwise (n >= 1, 1 <= k <= n).

Table of values

List of values

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

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

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