A293835 - cp's OEIS frontend

A293835 a(n) = smallest number (in absolute value) not yet in the sequence such that the arithmetic mean of the first n terms a(1), a(2), ..., a(n) is an integer; a(1)=1. No two numbers with the same absolute value may appear. Preference is given to positive values of a(n).

n	a(n)
1	1
2	3
3	2
4	6
5	-7
6	-5
7	0
8	8
9	10
10	12
11	14
12	4
13	-9
14	-11
15	-13
16	-15
17	17
18	19
19	21
20	23
21	25
22	27
23	29
24	31
25	33
26	35
27	37
28	39
29	41
30	43
31	45
32	47
33	16
34	-18
35	-20
36	-22
37	-24
38	-26
39	-28
40	-30
41	-32
42	-34
43	-36
44	-38
45	-40
46	-42
47	-44
48	-46
49	-48
50	50
51	52
52	54
53	56
54	58
55	60
56	62
57	64
58	66
59	68
60	70
61	72
62	74
63	76
64	78

[1, 3, 2, 6, -7, -5, 0, 8, 10, 12, 14, 4, -9, -11, -13, -15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 16, -18, -20, -22, -24, -26, -28, -30, -32, -34, -36, -38, -40, -42, -44, -46, -48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78]

cp's OEIS Frontend

A293835 a(n) = smallest number (in absolute value) not yet in the sequence such that the arithmetic mean of the first n terms a(1), a(2), ..., a(n) is an integer; a(1)=1. No two numbers with the same absolute value may appear. Preference is given to positive values of a(n).

Table of values

List of values

n	a(n)
1	1
2	3
3	2
4	6
5	-7
6	-5
7	0
8	8
9	10
10	12
11	14
12	4
13	-9
14	-11
15	-13
16	-15
17	17
18	19
19	21
20	23
21	25
22	27
23	29
24	31
25	33
26	35
27	37
28	39
29	41
30	43
31	45
32	47
33	16
34	-18
35	-20
36	-22
37	-24
38	-26
39	-28
40	-30
41	-32
42	-34
43	-36
44	-38
45	-40
46	-42
47	-44
48	-46
49	-48
50	50
51	52
52	54
53	56
54	58
55	60
56	62
57	64
58	66
59	68
60	70
61	72
62	74
63	76
64	78

n	a(n)
1	1
2	3
3	2
4	6
5	-7
6	-5
7	0
8	8
9	10
10	12
11	14
12	4
13	-9
14	-11
15	-13
16	-15
17	17
18	19
19	21
20	23
21	25
22	27
23	29
24	31
25	33
26	35
27	37
28	39
29	41
30	43
31	45
32	47
33	16
34	-18
35	-20
36	-22
37	-24
38	-26
39	-28
40	-30
41	-32
42	-34
43	-36
44	-38
45	-40
46	-42
47	-44
48	-46
49	-48
50	50
51	52
52	54
53	56
54	58
55	60
56	62
57	64
58	66
59	68
60	70
61	72
62	74
63	76
64	78

n	a(n)
1	1
2	3
3	2
4	6
5	-7
6	-5
7	0
8	8
9	10
10	12
11	14
12	4
13	-9
14	-11
15	-13
16	-15
17	17
18	19
19	21
20	23
21	25
22	27
23	29
24	31
25	33
26	35
27	37
28	39
29	41
30	43
31	45
32	47
33	16
34	-18
35	-20
36	-22
37	-24
38	-26
39	-28
40	-30
41	-32
42	-34
43	-36
44	-38
45	-40
46	-42
47	-44
48	-46
49	-48
50	50
51	52
52	54
53	56
54	58
55	60
56	62
57	64
58	66
59	68
60	70
61	72
62	74
63	76
64	78