A185158 - cp's OEIS frontend

A185158 Triangular array read by rows: T(n,k) (n>=1, 0<=k<=n-1, except 0<=k<=1 when n=1) = coefficient of x^k in expansion of (1/n)Sum_{d|n} (mobius(d)(1+x^d)^(n/d)).

n	a(n)
1	1
2	1
3	0
4	1
5	0
6	1
7	1
8	0
9	1
10	1
11	1
12	0
13	1
14	2
15	2
16	1
17	0
18	1
19	2
20	3
21	2
22	1
23	0
24	1
25	3
26	5
27	5
28	3
29	1
30	0
31	1
32	3
33	7
34	8
35	7
36	3
37	1
38	0
39	1
40	4
41	9
42	14
43	14
44	9
45	4
46	1
47	0
48	1
49	4
50	12
51	20
52	25
53	20
54	12
55	4
56	1
57	0
58	1
59	5
60	15
61	30
62	42
63	42
64	30
65	15
66	5
67	1
68	0
69	1
70	5
71	18
72	40
73	66
74	75
75	66
76	40
77	18
78	5
79	1
80	0
81	1
82	6
83	22
84	55
85	99
86	132
87	132
88	99
89	55
90	22
91	6
92	1
93	0
94	1
95	6
96	26
97	70
98	143
99	212
100	245
101	212
102	143
103	70
104	26
105	6
106	1

[1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 3, 2, 1, 0, 1, 3, 5, 5, 3, 1, 0, 1, 3, 7, 8, 7, 3, 1, 0, 1, 4, 9, 14, 14, 9, 4, 1, 0, 1, 4, 12, 20, 25, 20, 12, 4, 1, 0, 1, 5, 15, 30, 42, 42, 30, 15, 5, 1, 0, 1, 5, 18, 40, 66, 75, 66, 40, 18, 5, 1, 0, 1, 6, 22, 55, 99, 132, 132, 99, 55, 22, 6, 1, 0, 1, 6, 26, 70, 143, 212, 245, 212, 143, 70, 26, 6, 1]

cp's OEIS Frontend

A185158 Triangular array read by rows: T(n,k) (n>=1, 0<=k<=n-1, except 0<=k<=1 when n=1) = coefficient of x^k in expansion of (1/n)Sum_{d|n} (mobius(d)(1+x^d)^(n/d)).

Table of values

List of values

n	a(n)
1	1
2	1
3	0
4	1
5	0
6	1
7	1
8	0
9	1
10	1
11	1
12	0
13	1
14	2
15	2
16	1
17	0
18	1
19	2
20	3
21	2
22	1
23	0
24	1
25	3
26	5
27	5
28	3
29	1
30	0
31	1
32	3
33	7
34	8
35	7
36	3
37	1
38	0
39	1
40	4
41	9
42	14
43	14
44	9
45	4
46	1
47	0
48	1
49	4
50	12
51	20
52	25
53	20
54	12
55	4
56	1
57	0
58	1
59	5
60	15
61	30
62	42
63	42
64	30
65	15
66	5
67	1
68	0
69	1
70	5
71	18
72	40
73	66
74	75
75	66
76	40
77	18
78	5
79	1
80	0
81	1
82	6
83	22
84	55
85	99
86	132
87	132
88	99
89	55
90	22
91	6
92	1
93	0
94	1
95	6
96	26
97	70
98	143
99	212
100	245
101	212
102	143
103	70
104	26
105	6
106	1

n	a(n)
1	1
2	1
3	0
4	1
5	0
6	1
7	1
8	0
9	1
10	1
11	1
12	0
13	1
14	2
15	2
16	1
17	0
18	1
19	2
20	3
21	2
22	1
23	0
24	1
25	3
26	5
27	5
28	3
29	1
30	0
31	1
32	3
33	7
34	8
35	7
36	3
37	1
38	0
39	1
40	4
41	9
42	14
43	14
44	9
45	4
46	1
47	0
48	1
49	4
50	12
51	20
52	25
53	20
54	12
55	4
56	1
57	0
58	1
59	5
60	15
61	30
62	42
63	42
64	30
65	15
66	5
67	1
68	0
69	1
70	5
71	18
72	40
73	66
74	75
75	66
76	40
77	18
78	5
79	1
80	0
81	1
82	6
83	22
84	55
85	99
86	132
87	132
88	99
89	55
90	22
91	6
92	1
93	0
94	1
95	6
96	26
97	70
98	143
99	212
100	245
101	212
102	143
103	70
104	26
105	6
106	1

cp's OEIS Frontend

A185158 Triangular array read by rows: T(n,k) (n>=1, 0<=k<=n-1, except 0<=k<=1 when n=1) = coefficient of x^k in expansion of (1/n)*Sum_{d|n} (mobius(d)*(1+x^d)^(n/d)).

Table of values

List of values

A185158 Triangular array read by rows: T(n,k) (n>=1, 0<=k<=n-1, except 0<=k<=1 when n=1) = coefficient of x^k in expansion of (1/n)Sum_{d|n} (mobius(d)(1+x^d)^(n/d)).

n	a(n)
1	1
2	1
3	0
4	1
5	0
6	1
7	1
8	0
9	1
10	1
11	1
12	0
13	1
14	2
15	2
16	1
17	0
18	1
19	2
20	3
21	2
22	1
23	0
24	1
25	3
26	5
27	5
28	3
29	1
30	0
31	1
32	3
33	7
34	8
35	7
36	3
37	1
38	0
39	1
40	4
41	9
42	14
43	14
44	9
45	4
46	1
47	0
48	1
49	4
50	12
51	20
52	25
53	20
54	12
55	4
56	1
57	0
58	1
59	5
60	15
61	30
62	42
63	42
64	30
65	15
66	5
67	1
68	0
69	1
70	5
71	18
72	40
73	66
74	75
75	66
76	40
77	18
78	5
79	1
80	0
81	1
82	6
83	22
84	55
85	99
86	132
87	132
88	99
89	55
90	22
91	6
92	1
93	0
94	1
95	6
96	26
97	70
98	143
99	212
100	245
101	212
102	143
103	70
104	26
105	6
106	1