A087165 - cp's OEIS frontend

A087165 a(n)=1 when n == 1 (mod 4), otherwise a(n) = a(n - ceiling(n/4)) + 1. Removing all the 1's results in the original sequence with every term incremented by 1.

n	a(n)
1	1
2	2
3	3
4	4
5	1
6	5
7	2
8	6
9	1
10	3
11	7
12	2
13	1
14	4
15	8
16	3
17	1
18	2
19	5
20	9
21	1
22	4
23	2
24	3
25	1
26	6
27	10
28	2
29	1
30	5
31	3
32	4
33	1
34	2
35	7
36	11
37	1
38	3
39	2
40	6
41	1
42	4
43	5
44	2
45	1
46	3
47	8
48	12
49	1
50	2
51	4
52	3
53	1
54	7
55	2
56	5
57	1
58	6
59	3
60	2
61	1
62	4
63	9
64	13
65	1
66	2
67	3
68	5
69	1
70	4
71	2
72	8
73	1
74	3
75	6
76	2
77	1
78	7
79	4
80	3
81	1
82	2
83	5
84	10
85	1
86	14
87	2
88	3
89	1
90	4
91	6
92	2
93	1
94	5
95	3
96	9
97	1
98	2
99	4
100	7
101	1
102	3
103	2

[1, 2, 3, 4, 1, 5, 2, 6, 1, 3, 7, 2, 1, 4, 8, 3, 1, 2, 5, 9, 1, 4, 2, 3, 1, 6, 10, 2, 1, 5, 3, 4, 1, 2, 7, 11, 1, 3, 2, 6, 1, 4, 5, 2, 1, 3, 8, 12, 1, 2, 4, 3, 1, 7, 2, 5, 1, 6, 3, 2, 1, 4, 9, 13, 1, 2, 3, 5, 1, 4, 2, 8, 1, 3, 6, 2, 1, 7, 4, 3, 1, 2, 5, 10, 1, 14, 2, 3, 1, 4, 6, 2, 1, 5, 3, 9, 1, 2, 4, 7, 1, 3, 2]

cp's OEIS Frontend

A087165 a(n)=1 when n == 1 (mod 4), otherwise a(n) = a(n - ceiling(n/4)) + 1. Removing all the 1's results in the original sequence with every term incremented by 1.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	4
5	1
6	5
7	2
8	6
9	1
10	3
11	7
12	2
13	1
14	4
15	8
16	3
17	1
18	2
19	5
20	9
21	1
22	4
23	2
24	3
25	1
26	6
27	10
28	2
29	1
30	5
31	3
32	4
33	1
34	2
35	7
36	11
37	1
38	3
39	2
40	6
41	1
42	4
43	5
44	2
45	1
46	3
47	8
48	12
49	1
50	2
51	4
52	3
53	1
54	7
55	2
56	5
57	1
58	6
59	3
60	2
61	1
62	4
63	9
64	13
65	1
66	2
67	3
68	5
69	1
70	4
71	2
72	8
73	1
74	3
75	6
76	2
77	1
78	7
79	4
80	3
81	1
82	2
83	5
84	10
85	1
86	14
87	2
88	3
89	1
90	4
91	6
92	2
93	1
94	5
95	3
96	9
97	1
98	2
99	4
100	7
101	1
102	3
103	2

n	a(n)
1	1
2	2
3	3
4	4
5	1
6	5
7	2
8	6
9	1
10	3
11	7
12	2
13	1
14	4
15	8
16	3
17	1
18	2
19	5
20	9
21	1
22	4
23	2
24	3
25	1
26	6
27	10
28	2
29	1
30	5
31	3
32	4
33	1
34	2
35	7
36	11
37	1
38	3
39	2
40	6
41	1
42	4
43	5
44	2
45	1
46	3
47	8
48	12
49	1
50	2
51	4
52	3
53	1
54	7
55	2
56	5
57	1
58	6
59	3
60	2
61	1
62	4
63	9
64	13
65	1
66	2
67	3
68	5
69	1
70	4
71	2
72	8
73	1
74	3
75	6
76	2
77	1
78	7
79	4
80	3
81	1
82	2
83	5
84	10
85	1
86	14
87	2
88	3
89	1
90	4
91	6
92	2
93	1
94	5
95	3
96	9
97	1
98	2
99	4
100	7
101	1
102	3
103	2

n	a(n)
1	1
2	2
3	3
4	4
5	1
6	5
7	2
8	6
9	1
10	3
11	7
12	2
13	1
14	4
15	8
16	3
17	1
18	2
19	5
20	9
21	1
22	4
23	2
24	3
25	1
26	6
27	10
28	2
29	1
30	5
31	3
32	4
33	1
34	2
35	7
36	11
37	1
38	3
39	2
40	6
41	1
42	4
43	5
44	2
45	1
46	3
47	8
48	12
49	1
50	2
51	4
52	3
53	1
54	7
55	2
56	5
57	1
58	6
59	3
60	2
61	1
62	4
63	9
64	13
65	1
66	2
67	3
68	5
69	1
70	4
71	2
72	8
73	1
74	3
75	6
76	2
77	1
78	7
79	4
80	3
81	1
82	2
83	5
84	10
85	1
86	14
87	2
88	3
89	1
90	4
91	6
92	2
93	1
94	5
95	3
96	9
97	1
98	2
99	4
100	7
101	1
102	3
103	2