A153112 - cp's OEIS frontend

A153112 a(0) = 0 and a(1)=a(2)=1; a(n) = a(a(n-1)) + a(n-a(n-1)) unless floor( sum_{i=0..n-1} a(i)/2) mod 16*A069705(n) = 1 in which case a(n) = A010882(n).

n	a(n)
0	0
1	1
2	1
3	1
4	2
5	2
6	3
7	3
8	3
9	4
10	5
11	5
12	5
13	5
14	6
15	7
16	7
17	8
18	8
19	8
20	8
21	8
22	9
23	10
24	11
25	2
26	12
27	12
28	12
29	13
30	13
31	2
32	14
33	14
34	14
35	14
36	15
37	16
38	16
39	17
40	18
41	18
42	19
43	19
44	10
45	19
46	20
47	20
48	20
49	21
50	21
51	21
52	10
53	24
54	24
55	13
56	24
57	25
58	16
59	26
60	26
61	26
62	27
63	27
64	28
65	28
66	1
67	2
68	2
69	3
70	3
71	3
72	4
73	5
74	5
75	5
76	2
77	6
78	7
79	7
80	8
81	8
82	8
83	8
84	5

[0, 1, 1, 1, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 8, 8, 9, 10, 11, 2, 12, 12, 12, 13, 13, 2, 14, 14, 14, 14, 15, 16, 16, 17, 18, 18, 19, 19, 10, 19, 20, 20, 20, 21, 21, 21, 10, 24, 24, 13, 24, 25, 16, 26, 26, 26, 27, 27, 28, 28, 1, 2, 2, 3, 3, 3, 4, 5, 5, 5, 2, 6, 7, 7, 8, 8, 8, 8, 5]

cp's OEIS Frontend

A153112 a(0) = 0 and a(1)=a(2)=1; a(n) = a(a(n-1)) + a(n-a(n-1)) unless floor( sum_{i=0..n-1} a(i)/2) mod 16*A069705(n) = 1 in which case a(n) = A010882(n).

Table of values

List of values

n	a(n)
0	0
1	1
2	1
3	1
4	2
5	2
6	3
7	3
8	3
9	4
10	5
11	5
12	5
13	5
14	6
15	7
16	7
17	8
18	8
19	8
20	8
21	8
22	9
23	10
24	11
25	2
26	12
27	12
28	12
29	13
30	13
31	2
32	14
33	14
34	14
35	14
36	15
37	16
38	16
39	17
40	18
41	18
42	19
43	19
44	10
45	19
46	20
47	20
48	20
49	21
50	21
51	21
52	10
53	24
54	24
55	13
56	24
57	25
58	16
59	26
60	26
61	26
62	27
63	27
64	28
65	28
66	1
67	2
68	2
69	3
70	3
71	3
72	4
73	5
74	5
75	5
76	2
77	6
78	7
79	7
80	8
81	8
82	8
83	8
84	5

n	a(n)
0	0
1	1
2	1
3	1
4	2
5	2
6	3
7	3
8	3
9	4
10	5
11	5
12	5
13	5
14	6
15	7
16	7
17	8
18	8
19	8
20	8
21	8
22	9
23	10
24	11
25	2
26	12
27	12
28	12
29	13
30	13
31	2
32	14
33	14
34	14
35	14
36	15
37	16
38	16
39	17
40	18
41	18
42	19
43	19
44	10
45	19
46	20
47	20
48	20
49	21
50	21
51	21
52	10
53	24
54	24
55	13
56	24
57	25
58	16
59	26
60	26
61	26
62	27
63	27
64	28
65	28
66	1
67	2
68	2
69	3
70	3
71	3
72	4
73	5
74	5
75	5
76	2
77	6
78	7
79	7
80	8
81	8
82	8
83	8
84	5

n	a(n)
0	0
1	1
2	1
3	1
4	2
5	2
6	3
7	3
8	3
9	4
10	5
11	5
12	5
13	5
14	6
15	7
16	7
17	8
18	8
19	8
20	8
21	8
22	9
23	10
24	11
25	2
26	12
27	12
28	12
29	13
30	13
31	2
32	14
33	14
34	14
35	14
36	15
37	16
38	16
39	17
40	18
41	18
42	19
43	19
44	10
45	19
46	20
47	20
48	20
49	21
50	21
51	21
52	10
53	24
54	24
55	13
56	24
57	25
58	16
59	26
60	26
61	26
62	27
63	27
64	28
65	28
66	1
67	2
68	2
69	3
70	3
71	3
72	4
73	5
74	5
75	5
76	2
77	6
78	7
79	7
80	8
81	8
82	8
83	8
84	5