A308712 - cp's OEIS frontend

A308712 a(0) = 0 and a(1) = 1; for n > 1, a(n) = a(n-1)/2 if that number is an integer and not already in the sequence, otherwise a(n) = 3*a(n-1) + remainder of a(n-1)/2. (A variant of the Collatz sequence).

n	a(n)
0	0
1	1
2	4
3	2
4	6
5	3
6	10
7	5
8	16
9	8
10	24
11	12
12	36
13	18
14	9
15	28
16	14
17	7
18	22
19	11
20	34
21	17
22	52
23	26
24	13
25	40
26	20
27	60
28	30
29	15
30	46
31	23
32	70
33	35
34	106
35	53
36	160
37	80
38	240
39	120
40	360
41	180
42	90
43	45
44	136
45	68
46	204
47	102
48	51
49	154
50	77
51	232
52	116
53	58
54	29
55	88
56	44
57	132
58	66
59	33
60	100
61	50
62	25
63	76
64	38
65	19
66	58

[0, 1, 4, 2, 6, 3, 10, 5, 16, 8, 24, 12, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 240, 120, 360, 180, 90, 45, 136, 68, 204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 132, 66, 33, 100, 50, 25, 76, 38, 19, 58]

cp's OEIS Frontend

A308712 a(0) = 0 and a(1) = 1; for n > 1, a(n) = a(n-1)/2 if that number is an integer and not already in the sequence, otherwise a(n) = 3*a(n-1) + remainder of a(n-1)/2. (A variant of the Collatz sequence).

Table of values

List of values

n	a(n)
0	0
1	1
2	4
3	2
4	6
5	3
6	10
7	5
8	16
9	8
10	24
11	12
12	36
13	18
14	9
15	28
16	14
17	7
18	22
19	11
20	34
21	17
22	52
23	26
24	13
25	40
26	20
27	60
28	30
29	15
30	46
31	23
32	70
33	35
34	106
35	53
36	160
37	80
38	240
39	120
40	360
41	180
42	90
43	45
44	136
45	68
46	204
47	102
48	51
49	154
50	77
51	232
52	116
53	58
54	29
55	88
56	44
57	132
58	66
59	33
60	100
61	50
62	25
63	76
64	38
65	19
66	58

n	a(n)
0	0
1	1
2	4
3	2
4	6
5	3
6	10
7	5
8	16
9	8
10	24
11	12
12	36
13	18
14	9
15	28
16	14
17	7
18	22
19	11
20	34
21	17
22	52
23	26
24	13
25	40
26	20
27	60
28	30
29	15
30	46
31	23
32	70
33	35
34	106
35	53
36	160
37	80
38	240
39	120
40	360
41	180
42	90
43	45
44	136
45	68
46	204
47	102
48	51
49	154
50	77
51	232
52	116
53	58
54	29
55	88
56	44
57	132
58	66
59	33
60	100
61	50
62	25
63	76
64	38
65	19
66	58

n	a(n)
0	0
1	1
2	4
3	2
4	6
5	3
6	10
7	5
8	16
9	8
10	24
11	12
12	36
13	18
14	9
15	28
16	14
17	7
18	22
19	11
20	34
21	17
22	52
23	26
24	13
25	40
26	20
27	60
28	30
29	15
30	46
31	23
32	70
33	35
34	106
35	53
36	160
37	80
38	240
39	120
40	360
41	180
42	90
43	45
44	136
45	68
46	204
47	102
48	51
49	154
50	77
51	232
52	116
53	58
54	29
55	88
56	44
57	132
58	66
59	33
60	100
61	50
62	25
63	76
64	38
65	19
66	58