A232929 - cp's OEIS frontend

A232929 For each complex nonprincipal 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	5
7	11
8	11
9	10
10	9
11	18
12	17
13	22
14	15
15	19
16	23
17	31
18	25
19	34
20	29
21	25
22	31
23	45
24	47
25	38
26	39
27	34
28	35
29	54
30	53
31	63
32	47
33	41
34	45
35	47
36	57
37	70
38	51
39	51
40	61
41	79
42	61
43	84
44	61
45	51
46	65
47	93
48	87
49	83
50	57
51	71
52	75
53	102
54	85
55	79
56	81
57	73
58	81
59	114
60	119
61	118
62	87
63	85
64	95
65	97
66	97
67	130
68	95
69	89
70	85
71	143
72	127
73	151
74	107
75	83
76	109
77	119
78	125
79	155
80	125
81	106
82	125
83	162
84	135
85	133
86	123
87	113
88	125
89	181
90	165
91	147
92	131
93	139
94	137
95	147
96	167
97	193
98	123
99	121
100	125
101	198
102	157
103	203
104	161
105	123
106	153
107	210
108	177
109	216
110	121
111	151
112	153
113	225
114	183
115	179
116	169
117	159
118	179
119	201
120	255

[2, 3, 6, 5, 11, 11, 10, 9, 18, 17, 22, 15, 19, 23, 31, 25, 34, 29, 25, 31, 45, 47, 38, 39, 34, 35, 54, 53, 63, 47, 41, 45, 47, 57, 70, 51, 51, 61, 79, 61, 84, 61, 51, 65, 93, 87, 83, 57, 71, 75, 102, 85, 79, 81, 73, 81, 114, 119, 118, 87, 85, 95, 97, 97, 130, 95, 89, 85, 143, 127, 151, 107, 83, 109, 119, 125, 155, 125, 106, 125, 162, 135, 133, 123, 113, 125, 181, 165, 147, 131, 139, 137, 147, 167, 193, 123, 121, 125, 198, 157, 203, 161, 123, 153, 210, 177, 216, 121, 151, 153, 225, 183, 179, 169, 159, 179, 201, 255]

cp's OEIS Frontend

A232929 For each complex nonprincipal 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	5
7	11
8	11
9	10
10	9
11	18
12	17
13	22
14	15
15	19
16	23
17	31
18	25
19	34
20	29
21	25
22	31
23	45
24	47
25	38
26	39
27	34
28	35
29	54
30	53
31	63
32	47
33	41
34	45
35	47
36	57
37	70
38	51
39	51
40	61
41	79
42	61
43	84
44	61
45	51
46	65
47	93
48	87
49	83
50	57
51	71
52	75
53	102
54	85
55	79
56	81
57	73
58	81
59	114
60	119
61	118
62	87
63	85
64	95
65	97
66	97
67	130
68	95
69	89
70	85
71	143
72	127
73	151
74	107
75	83
76	109
77	119
78	125
79	155
80	125
81	106
82	125
83	162
84	135
85	133
86	123
87	113
88	125
89	181
90	165
91	147
92	131
93	139
94	137
95	147
96	167
97	193
98	123
99	121
100	125
101	198
102	157
103	203
104	161
105	123
106	153
107	210
108	177
109	216
110	121
111	151
112	153
113	225
114	183
115	179
116	169
117	159
118	179
119	201
120	255

n	a(n)
3	2
4	3
5	6
6	5
7	11
8	11
9	10
10	9
11	18
12	17
13	22
14	15
15	19
16	23
17	31
18	25
19	34
20	29
21	25
22	31
23	45
24	47
25	38
26	39
27	34
28	35
29	54
30	53
31	63
32	47
33	41
34	45
35	47
36	57
37	70
38	51
39	51
40	61
41	79
42	61
43	84
44	61
45	51
46	65
47	93
48	87
49	83
50	57
51	71
52	75
53	102
54	85
55	79
56	81
57	73
58	81
59	114
60	119
61	118
62	87
63	85
64	95
65	97
66	97
67	130
68	95
69	89
70	85
71	143
72	127
73	151
74	107
75	83
76	109
77	119
78	125
79	155
80	125
81	106
82	125
83	162
84	135
85	133
86	123
87	113
88	125
89	181
90	165
91	147
92	131
93	139
94	137
95	147
96	167
97	193
98	123
99	121
100	125
101	198
102	157
103	203
104	161
105	123
106	153
107	210
108	177
109	216
110	121
111	151
112	153
113	225
114	183
115	179
116	169
117	159
118	179
119	201
120	255

n	a(n)
3	2
4	3
5	6
6	5
7	11
8	11
9	10
10	9
11	18
12	17
13	22
14	15
15	19
16	23
17	31
18	25
19	34
20	29
21	25
22	31
23	45
24	47
25	38
26	39
27	34
28	35
29	54
30	53
31	63
32	47
33	41
34	45
35	47
36	57
37	70
38	51
39	51
40	61
41	79
42	61
43	84
44	61
45	51
46	65
47	93
48	87
49	83
50	57
51	71
52	75
53	102
54	85
55	79
56	81
57	73
58	81
59	114
60	119
61	118
62	87
63	85
64	95
65	97
66	97
67	130
68	95
69	89
70	85
71	143
72	127
73	151
74	107
75	83
76	109
77	119
78	125
79	155
80	125
81	106
82	125
83	162
84	135
85	133
86	123
87	113
88	125
89	181
90	165
91	147
92	131
93	139
94	137
95	147
96	167
97	193
98	123
99	121
100	125
101	198
102	157
103	203
104	161
105	123
106	153
107	210
108	177
109	216
110	121
111	151
112	153
113	225
114	183
115	179
116	169
117	159
118	179
119	201
120	255