A232930 - cp's OEIS frontend

A232930 For each complex primitive Dirichlet character chi modulo n, let f(chi) be the least positive integer k for which chi(k) is not in the set {0,1}. Then a(n) is the sum of f(chi) over all such chi.

n	a(n)
3	2
4	3
5	6
6	0
7	11
8	8
9	8
10	0
11	18
12	5
13	22
14	0
15	11
16	12
17	31
18	0
19	34
20	17
21	10
22	0
23	45
24	20
25	32
26	0
27	24
28	17
29	54
30	0
31	63
32	24
33	21
34	0
35	30
36	20
37	70
38	0
39	27
40	22
41	79
42	0
43	84
44	27
45	24
46	0
47	93
48	20
49	72
50	0
51	36
52	33
53	102
54	0
55	55
56	38
57	37
58	0
59	114
60	27
61	118
62	0
63	52
64	48
65	69
66	0
67	130
68	47
69	42
70	0
71	143
72	40
73	151
74	0
75	32
76	55
77	90
78	0
79	155
80	52
81	72
82	0
83	162
84	33
85	96
86	0
87	57
88	56
89	181
90	0
91	114
92	63
93	58
94	0
95	107
96	40
97	193
98	0
99	72
100	48
101	198
102	0
103	203
104	78
105	39
106	0
107	210
108	60
109	216
110	0
111	79
112	60
113	225
114	0
115	126
116	85
117	100
118	0
119	159
120	46

[2, 3, 6, 0, 11, 8, 8, 0, 18, 5, 22, 0, 11, 12, 31, 0, 34, 17, 10, 0, 45, 20, 32, 0, 24, 17, 54, 0, 63, 24, 21, 0, 30, 20, 70, 0, 27, 22, 79, 0, 84, 27, 24, 0, 93, 20, 72, 0, 36, 33, 102, 0, 55, 38, 37, 0, 114, 27, 118, 0, 52, 48, 69, 0, 130, 47, 42, 0, 143, 40, 151, 0, 32, 55, 90, 0, 155, 52, 72, 0, 162, 33, 96, 0, 57, 56, 181, 0, 114, 63, 58, 0, 107, 40, 193, 0, 72, 48, 198, 0, 203, 78, 39, 0, 210, 60, 216, 0, 79, 60, 225, 0, 126, 85, 100, 0, 159, 46]

cp's OEIS Frontend

A232930 For each complex primitive Dirichlet character chi modulo n, let f(chi) be the least positive integer k for which chi(k) is not in the set {0,1}. Then a(n) is the sum of f(chi) over all such chi.

Table of values

List of values

n	a(n)
3	2
4	3
5	6
6	0
7	11
8	8
9	8
10	0
11	18
12	5
13	22
14	0
15	11
16	12
17	31
18	0
19	34
20	17
21	10
22	0
23	45
24	20
25	32
26	0
27	24
28	17
29	54
30	0
31	63
32	24
33	21
34	0
35	30
36	20
37	70
38	0
39	27
40	22
41	79
42	0
43	84
44	27
45	24
46	0
47	93
48	20
49	72
50	0
51	36
52	33
53	102
54	0
55	55
56	38
57	37
58	0
59	114
60	27
61	118
62	0
63	52
64	48
65	69
66	0
67	130
68	47
69	42
70	0
71	143
72	40
73	151
74	0
75	32
76	55
77	90
78	0
79	155
80	52
81	72
82	0
83	162
84	33
85	96
86	0
87	57
88	56
89	181
90	0
91	114
92	63
93	58
94	0
95	107
96	40
97	193
98	0
99	72
100	48
101	198
102	0
103	203
104	78
105	39
106	0
107	210
108	60
109	216
110	0
111	79
112	60
113	225
114	0
115	126
116	85
117	100
118	0
119	159
120	46

n	a(n)
3	2
4	3
5	6
6	0
7	11
8	8
9	8
10	0
11	18
12	5
13	22
14	0
15	11
16	12
17	31
18	0
19	34
20	17
21	10
22	0
23	45
24	20
25	32
26	0
27	24
28	17
29	54
30	0
31	63
32	24
33	21
34	0
35	30
36	20
37	70
38	0
39	27
40	22
41	79
42	0
43	84
44	27
45	24
46	0
47	93
48	20
49	72
50	0
51	36
52	33
53	102
54	0
55	55
56	38
57	37
58	0
59	114
60	27
61	118
62	0
63	52
64	48
65	69
66	0
67	130
68	47
69	42
70	0
71	143
72	40
73	151
74	0
75	32
76	55
77	90
78	0
79	155
80	52
81	72
82	0
83	162
84	33
85	96
86	0
87	57
88	56
89	181
90	0
91	114
92	63
93	58
94	0
95	107
96	40
97	193
98	0
99	72
100	48
101	198
102	0
103	203
104	78
105	39
106	0
107	210
108	60
109	216
110	0
111	79
112	60
113	225
114	0
115	126
116	85
117	100
118	0
119	159
120	46

n	a(n)
3	2
4	3
5	6
6	0
7	11
8	8
9	8
10	0
11	18
12	5
13	22
14	0
15	11
16	12
17	31
18	0
19	34
20	17
21	10
22	0
23	45
24	20
25	32
26	0
27	24
28	17
29	54
30	0
31	63
32	24
33	21
34	0
35	30
36	20
37	70
38	0
39	27
40	22
41	79
42	0
43	84
44	27
45	24
46	0
47	93
48	20
49	72
50	0
51	36
52	33
53	102
54	0
55	55
56	38
57	37
58	0
59	114
60	27
61	118
62	0
63	52
64	48
65	69
66	0
67	130
68	47
69	42
70	0
71	143
72	40
73	151
74	0
75	32
76	55
77	90
78	0
79	155
80	52
81	72
82	0
83	162
84	33
85	96
86	0
87	57
88	56
89	181
90	0
91	114
92	63
93	58
94	0
95	107
96	40
97	193
98	0
99	72
100	48
101	198
102	0
103	203
104	78
105	39
106	0
107	210
108	60
109	216
110	0
111	79
112	60
113	225
114	0
115	126
116	85
117	100
118	0
119	159
120	46