A350877 - cp's OEIS frontend

A350877 The Sisyphus sequence: start the sequence S with a(1) = 1 and extend S with a(n)/2 when a(n) is even, otherwise with a(n) + the smallest prime not yet added.

n	a(n)
1	1
2	3
3	6
4	3
5	8
6	4
7	2
8	1
9	8
10	4
11	2
12	1
13	12
14	6
15	3
16	16
17	8
18	4
19	2
20	1
21	18
22	9
23	28
24	14
25	7
26	30
27	15
28	44
29	22
30	11
31	42
32	21
33	58
34	29
35	70
36	35
37	78
38	39
39	86
40	43
41	96
42	48
43	24
44	12
45	6
46	3
47	62
48	31
49	92
50	46
51	23
52	90
53	45
54	116
55	58
56	29
57	102
58	51
59	130
60	65
61	148
62	74
63	37
64	126
65	63
66	160
67	80
68	40
69	20
70	10
71	5
72	106
73	53
74	156
75	78
76	39
77	146
78	73
79	182
80	91

[1, 3, 6, 3, 8, 4, 2, 1, 8, 4, 2, 1, 12, 6, 3, 16, 8, 4, 2, 1, 18, 9, 28, 14, 7, 30, 15, 44, 22, 11, 42, 21, 58, 29, 70, 35, 78, 39, 86, 43, 96, 48, 24, 12, 6, 3, 62, 31, 92, 46, 23, 90, 45, 116, 58, 29, 102, 51, 130, 65, 148, 74, 37, 126, 63, 160, 80, 40, 20, 10, 5, 106, 53, 156, 78, 39, 146, 73, 182, 91]

cp's OEIS Frontend

A350877 The Sisyphus sequence: start the sequence S with a(1) = 1 and extend S with a(n)/2 when a(n) is even, otherwise with a(n) + the smallest prime not yet added.

Table of values

List of values

n	a(n)
1	1
2	3
3	6
4	3
5	8
6	4
7	2
8	1
9	8
10	4
11	2
12	1
13	12
14	6
15	3
16	16
17	8
18	4
19	2
20	1
21	18
22	9
23	28
24	14
25	7
26	30
27	15
28	44
29	22
30	11
31	42
32	21
33	58
34	29
35	70
36	35
37	78
38	39
39	86
40	43
41	96
42	48
43	24
44	12
45	6
46	3
47	62
48	31
49	92
50	46
51	23
52	90
53	45
54	116
55	58
56	29
57	102
58	51
59	130
60	65
61	148
62	74
63	37
64	126
65	63
66	160
67	80
68	40
69	20
70	10
71	5
72	106
73	53
74	156
75	78
76	39
77	146
78	73
79	182
80	91

n	a(n)
1	1
2	3
3	6
4	3
5	8
6	4
7	2
8	1
9	8
10	4
11	2
12	1
13	12
14	6
15	3
16	16
17	8
18	4
19	2
20	1
21	18
22	9
23	28
24	14
25	7
26	30
27	15
28	44
29	22
30	11
31	42
32	21
33	58
34	29
35	70
36	35
37	78
38	39
39	86
40	43
41	96
42	48
43	24
44	12
45	6
46	3
47	62
48	31
49	92
50	46
51	23
52	90
53	45
54	116
55	58
56	29
57	102
58	51
59	130
60	65
61	148
62	74
63	37
64	126
65	63
66	160
67	80
68	40
69	20
70	10
71	5
72	106
73	53
74	156
75	78
76	39
77	146
78	73
79	182
80	91

n	a(n)
1	1
2	3
3	6
4	3
5	8
6	4
7	2
8	1
9	8
10	4
11	2
12	1
13	12
14	6
15	3
16	16
17	8
18	4
19	2
20	1
21	18
22	9
23	28
24	14
25	7
26	30
27	15
28	44
29	22
30	11
31	42
32	21
33	58
34	29
35	70
36	35
37	78
38	39
39	86
40	43
41	96
42	48
43	24
44	12
45	6
46	3
47	62
48	31
49	92
50	46
51	23
52	90
53	45
54	116
55	58
56	29
57	102
58	51
59	130
60	65
61	148
62	74
63	37
64	126
65	63
66	160
67	80
68	40
69	20
70	10
71	5
72	106
73	53
74	156
75	78
76	39
77	146
78	73
79	182
80	91