A060030 - cp's OEIS frontend

A060030 a(1) = 1, a(2) = 2; thereafter a "hole" is defined to be any positive number not in the sequence a(1)..a(n-1) and less than the largest term; if there exists at least one hole, then a(n) is the largest hole, otherwise a(n) = a(n-2) + a(n-1).

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	9
7	8
8	7
9	6
10	13
11	12
12	11
13	10
14	21
15	20
16	19
17	18
18	17
19	16
20	15
21	14
22	29
23	28
24	27
25	26
26	25
27	24
28	23
29	22
30	45
31	44
32	43
33	42
34	41
35	40
36	39
37	38
38	37
39	36
40	35
41	34
42	33
43	32
44	31
45	30
46	61
47	60
48	59
49	58
50	57
51	56
52	55
53	54
54	53
55	52
56	51
57	50
58	49
59	48
60	47
61	46
62	93
63	92
64	91
65	90
66	89
67	88
68	87
69	86
70	85
71	84
72	83

[1, 2, 3, 5, 4, 9, 8, 7, 6, 13, 12, 11, 10, 21, 20, 19, 18, 17, 16, 15, 14, 29, 28, 27, 26, 25, 24, 23, 22, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83]

cp's OEIS Frontend

A060030 a(1) = 1, a(2) = 2; thereafter a "hole" is defined to be any positive number not in the sequence a(1)..a(n-1) and less than the largest term; if there exists at least one hole, then a(n) is the largest hole, otherwise a(n) = a(n-2) + a(n-1).

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	9
7	8
8	7
9	6
10	13
11	12
12	11
13	10
14	21
15	20
16	19
17	18
18	17
19	16
20	15
21	14
22	29
23	28
24	27
25	26
26	25
27	24
28	23
29	22
30	45
31	44
32	43
33	42
34	41
35	40
36	39
37	38
38	37
39	36
40	35
41	34
42	33
43	32
44	31
45	30
46	61
47	60
48	59
49	58
50	57
51	56
52	55
53	54
54	53
55	52
56	51
57	50
58	49
59	48
60	47
61	46
62	93
63	92
64	91
65	90
66	89
67	88
68	87
69	86
70	85
71	84
72	83

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	9
7	8
8	7
9	6
10	13
11	12
12	11
13	10
14	21
15	20
16	19
17	18
18	17
19	16
20	15
21	14
22	29
23	28
24	27
25	26
26	25
27	24
28	23
29	22
30	45
31	44
32	43
33	42
34	41
35	40
36	39
37	38
38	37
39	36
40	35
41	34
42	33
43	32
44	31
45	30
46	61
47	60
48	59
49	58
50	57
51	56
52	55
53	54
54	53
55	52
56	51
57	50
58	49
59	48
60	47
61	46
62	93
63	92
64	91
65	90
66	89
67	88
68	87
69	86
70	85
71	84
72	83

n	a(n)
1	1
2	2
3	3
4	5
5	4
6	9
7	8
8	7
9	6
10	13
11	12
12	11
13	10
14	21
15	20
16	19
17	18
18	17
19	16
20	15
21	14
22	29
23	28
24	27
25	26
26	25
27	24
28	23
29	22
30	45
31	44
32	43
33	42
34	41
35	40
36	39
37	38
38	37
39	36
40	35
41	34
42	33
43	32
44	31
45	30
46	61
47	60
48	59
49	58
50	57
51	56
52	55
53	54
54	53
55	52
56	51
57	50
58	49
59	48
60	47
61	46
62	93
63	92
64	91
65	90
66	89
67	88
68	87
69	86
70	85
71	84
72	83