A290537 - cp's OEIS frontend

A290537 Let S be the sequence generated by these rules: 0 is in S, and if z is in S, then z + 1 and z * (1+i) are in S (where i denotes the imaginary unit), and duplicates are deleted as they occur; a(n) = the imaginary part of the n-th term of S.

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	2
7	1
8	2
9	0
10	3
11	2
12	4
13	1
14	3
15	2
16	2
17	0
18	4
19	3
20	6
21	2
22	5
23	4
24	4
25	1
26	4
27	3
28	4
29	3
30	2
31	0
32	0
33	5
34	4
35	8
36	3
37	7
38	6
39	6
40	2
41	6
42	5
43	6
44	5
45	4
46	0
47	1
48	5
49	4
50	6
51	5
52	4
53	2
54	3
55	2
56	1
57	0
58	-4
59	0
60	6
61	5
62	10
63	4
64	9
65	8
66	8
67	3
68	8
69	7
70	8
71	7
72	6
73	0
74	2
75	7
76	6
77	8
78	7
79	6
80	2
81	5
82	2
83	1
84	0
85	-8
86	1

[0, 0, 0, 1, 0, 2, 1, 2, 0, 3, 2, 4, 1, 3, 2, 2, 0, 4, 3, 6, 2, 5, 4, 4, 1, 4, 3, 4, 3, 2, 0, 0, 5, 4, 8, 3, 7, 6, 6, 2, 6, 5, 6, 5, 4, 0, 1, 5, 4, 6, 5, 4, 2, 3, 2, 1, 0, -4, 0, 6, 5, 10, 4, 9, 8, 8, 3, 8, 7, 8, 7, 6, 0, 2, 7, 6, 8, 7, 6, 2, 5, 2, 1, 0, -8, 1]

cp's OEIS Frontend

A290537 Let S be the sequence generated by these rules: 0 is in S, and if z is in S, then z + 1 and z * (1+i) are in S (where i denotes the imaginary unit), and duplicates are deleted as they occur; a(n) = the imaginary part of the n-th term of S.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	2
7	1
8	2
9	0
10	3
11	2
12	4
13	1
14	3
15	2
16	2
17	0
18	4
19	3
20	6
21	2
22	5
23	4
24	4
25	1
26	4
27	3
28	4
29	3
30	2
31	0
32	0
33	5
34	4
35	8
36	3
37	7
38	6
39	6
40	2
41	6
42	5
43	6
44	5
45	4
46	0
47	1
48	5
49	4
50	6
51	5
52	4
53	2
54	3
55	2
56	1
57	0
58	-4
59	0
60	6
61	5
62	10
63	4
64	9
65	8
66	8
67	3
68	8
69	7
70	8
71	7
72	6
73	0
74	2
75	7
76	6
77	8
78	7
79	6
80	2
81	5
82	2
83	1
84	0
85	-8
86	1

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	2
7	1
8	2
9	0
10	3
11	2
12	4
13	1
14	3
15	2
16	2
17	0
18	4
19	3
20	6
21	2
22	5
23	4
24	4
25	1
26	4
27	3
28	4
29	3
30	2
31	0
32	0
33	5
34	4
35	8
36	3
37	7
38	6
39	6
40	2
41	6
42	5
43	6
44	5
45	4
46	0
47	1
48	5
49	4
50	6
51	5
52	4
53	2
54	3
55	2
56	1
57	0
58	-4
59	0
60	6
61	5
62	10
63	4
64	9
65	8
66	8
67	3
68	8
69	7
70	8
71	7
72	6
73	0
74	2
75	7
76	6
77	8
78	7
79	6
80	2
81	5
82	2
83	1
84	0
85	-8
86	1

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	2
7	1
8	2
9	0
10	3
11	2
12	4
13	1
14	3
15	2
16	2
17	0
18	4
19	3
20	6
21	2
22	5
23	4
24	4
25	1
26	4
27	3
28	4
29	3
30	2
31	0
32	0
33	5
34	4
35	8
36	3
37	7
38	6
39	6
40	2
41	6
42	5
43	6
44	5
45	4
46	0
47	1
48	5
49	4
50	6
51	5
52	4
53	2
54	3
55	2
56	1
57	0
58	-4
59	0
60	6
61	5
62	10
63	4
64	9
65	8
66	8
67	3
68	8
69	7
70	8
71	7
72	6
73	0
74	2
75	7
76	6
77	8
78	7
79	6
80	2
81	5
82	2
83	1
84	0
85	-8
86	1