A265650 - cp's OEIS frontend

A265650 Removing the first occurrence of 1, 2, 3, ... reproduces the sequence itself. Each run of consecutive removed terms is separated from the next one by a term a(k) <= a(k-1) such that floor(sqrt(a(k))) equals the length of the run.

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	2
7	4
8	1
9	5
10	3
11	6
12	2
13	7
14	8
15	4
16	9
17	1
18	10
19	11
20	5
21	12
22	3
23	13
24	14
25	6
26	15
27	2
28	16
29	17
30	7
31	18
32	19
33	8
34	20
35	21
36	4
37	22
38	23
39	24
40	9
41	25
42	1
43	26
44	27
45	28
46	10
47	29
48	30
49	31
50	11
51	32
52	33
53	5
54	34
55	35
56	36
57	12
58	37
59	3
60	38
61	39
62	40
63	13
64	41
65	42
66	43
67	14
68	44
69	45
70	6
71	46
72	47
73	48
74	15
75	49
76	2
77	50
78	51
79	52
80	53
81	16
82	54
83	55
84	56
85	57
86	17
87	58
88	59
89	7
90	60
91	61
92	62
93	63
94	18
95	64
96	65
97	66

[1, 1, 2, 1, 3, 2, 4, 1, 5, 3, 6, 2, 7, 8, 4, 9, 1, 10, 11, 5, 12, 3, 13, 14, 6, 15, 2, 16, 17, 7, 18, 19, 8, 20, 21, 4, 22, 23, 24, 9, 25, 1, 26, 27, 28, 10, 29, 30, 31, 11, 32, 33, 5, 34, 35, 36, 12, 37, 3, 38, 39, 40, 13, 41, 42, 43, 14, 44, 45, 6, 46, 47, 48, 15, 49, 2, 50, 51, 52, 53, 16, 54, 55, 56, 57, 17, 58, 59, 7, 60, 61, 62, 63, 18, 64, 65, 66]

cp's OEIS Frontend

A265650 Removing the first occurrence of 1, 2, 3, ... reproduces the sequence itself. Each run of consecutive removed terms is separated from the next one by a term a(k) <= a(k-1) such that floor(sqrt(a(k))) equals the length of the run.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	2
7	4
8	1
9	5
10	3
11	6
12	2
13	7
14	8
15	4
16	9
17	1
18	10
19	11
20	5
21	12
22	3
23	13
24	14
25	6
26	15
27	2
28	16
29	17
30	7
31	18
32	19
33	8
34	20
35	21
36	4
37	22
38	23
39	24
40	9
41	25
42	1
43	26
44	27
45	28
46	10
47	29
48	30
49	31
50	11
51	32
52	33
53	5
54	34
55	35
56	36
57	12
58	37
59	3
60	38
61	39
62	40
63	13
64	41
65	42
66	43
67	14
68	44
69	45
70	6
71	46
72	47
73	48
74	15
75	49
76	2
77	50
78	51
79	52
80	53
81	16
82	54
83	55
84	56
85	57
86	17
87	58
88	59
89	7
90	60
91	61
92	62
93	63
94	18
95	64
96	65
97	66

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	2
7	4
8	1
9	5
10	3
11	6
12	2
13	7
14	8
15	4
16	9
17	1
18	10
19	11
20	5
21	12
22	3
23	13
24	14
25	6
26	15
27	2
28	16
29	17
30	7
31	18
32	19
33	8
34	20
35	21
36	4
37	22
38	23
39	24
40	9
41	25
42	1
43	26
44	27
45	28
46	10
47	29
48	30
49	31
50	11
51	32
52	33
53	5
54	34
55	35
56	36
57	12
58	37
59	3
60	38
61	39
62	40
63	13
64	41
65	42
66	43
67	14
68	44
69	45
70	6
71	46
72	47
73	48
74	15
75	49
76	2
77	50
78	51
79	52
80	53
81	16
82	54
83	55
84	56
85	57
86	17
87	58
88	59
89	7
90	60
91	61
92	62
93	63
94	18
95	64
96	65
97	66

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	2
7	4
8	1
9	5
10	3
11	6
12	2
13	7
14	8
15	4
16	9
17	1
18	10
19	11
20	5
21	12
22	3
23	13
24	14
25	6
26	15
27	2
28	16
29	17
30	7
31	18
32	19
33	8
34	20
35	21
36	4
37	22
38	23
39	24
40	9
41	25
42	1
43	26
44	27
45	28
46	10
47	29
48	30
49	31
50	11
51	32
52	33
53	5
54	34
55	35
56	36
57	12
58	37
59	3
60	38
61	39
62	40
63	13
64	41
65	42
66	43
67	14
68	44
69	45
70	6
71	46
72	47
73	48
74	15
75	49
76	2
77	50
78	51
79	52
80	53
81	16
82	54
83	55
84	56
85	57
86	17
87	58
88	59
89	7
90	60
91	61
92	62
93	63
94	18
95	64
96	65
97	66