A336992 - cp's OEIS frontend

A336992 The number of gaps in the sets A(n), where A(0) is the empty set and A(n+1) is the union of A(n) and the Collatz orbit of the smallest natural number missing in A(n).

n	a(n)
0	0
1	0
2	1
3	3
4	3
5	9
6	9
7	8
8	12
9	12
10	14
11	15
12	15
13	16
14	100
15	99
16	100
17	100
18	101
19	108
20	108
21	112
22	111
23	110
24	110
25	110
26	110
27	111
28	110
29	116
30	115
31	115
32	115
33	116
34	120
35	120
36	124
37	123
38	122
39	122
40	121
41	122
42	122
43	123
44	125
45	124
46	125
47	125
48	126
49	125
50	125
51	127
52	127
53	126
54	133
55	133

[0, 0, 1, 3, 3, 9, 9, 8, 12, 12, 14, 15, 15, 16, 100, 99, 100, 100, 101, 108, 108, 112, 111, 110, 110, 110, 110, 111, 110, 116, 115, 115, 115, 116, 120, 120, 124, 123, 122, 122, 121, 122, 122, 123, 125, 124, 125, 125, 126, 125, 125, 127, 127, 126, 133, 133]

cp's OEIS Frontend

A336992 The number of gaps in the sets A(n), where A(0) is the empty set and A(n+1) is the union of A(n) and the Collatz orbit of the smallest natural number missing in A(n).

Table of values

List of values

n	a(n)
0	0
1	0
2	1
3	3
4	3
5	9
6	9
7	8
8	12
9	12
10	14
11	15
12	15
13	16
14	100
15	99
16	100
17	100
18	101
19	108
20	108
21	112
22	111
23	110
24	110
25	110
26	110
27	111
28	110
29	116
30	115
31	115
32	115
33	116
34	120
35	120
36	124
37	123
38	122
39	122
40	121
41	122
42	122
43	123
44	125
45	124
46	125
47	125
48	126
49	125
50	125
51	127
52	127
53	126
54	133
55	133

n	a(n)
0	0
1	0
2	1
3	3
4	3
5	9
6	9
7	8
8	12
9	12
10	14
11	15
12	15
13	16
14	100
15	99
16	100
17	100
18	101
19	108
20	108
21	112
22	111
23	110
24	110
25	110
26	110
27	111
28	110
29	116
30	115
31	115
32	115
33	116
34	120
35	120
36	124
37	123
38	122
39	122
40	121
41	122
42	122
43	123
44	125
45	124
46	125
47	125
48	126
49	125
50	125
51	127
52	127
53	126
54	133
55	133

n	a(n)
0	0
1	0
2	1
3	3
4	3
5	9
6	9
7	8
8	12
9	12
10	14
11	15
12	15
13	16
14	100
15	99
16	100
17	100
18	101
19	108
20	108
21	112
22	111
23	110
24	110
25	110
26	110
27	111
28	110
29	116
30	115
31	115
32	115
33	116
34	120
35	120
36	124
37	123
38	122
39	122
40	121
41	122
42	122
43	123
44	125
45	124
46	125
47	125
48	126
49	125
50	125
51	127
52	127
53	126
54	133
55	133