A290538 - cp's OEIS frontend

A290538 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 square of the norm of the n-th term of S.

n	a(n)
1	0
2	1
3	4
4	2
5	9
6	8
7	5
8	4
9	16
10	18
11	13
12	16
13	10
14	10
15	5
16	8
17	25
18	32
19	25
20	36
21	20
22	26
23	17
24	32
25	17
26	20
27	13
28	20
29	10
30	5
31	16
32	36
33	50
34	41
35	64
36	34
37	50
38	37
39	72
40	29
41	40
42	29
43	52
44	34
45	25
46	64
47	26
48	34
49	25
50	40
51	26
52	17
53	40
54	9
55	20
56	10
57	9
58	32
59	49
60	72
61	61
62	100
63	52
64	82
65	65
66	128
67	45
68	68

[0, 1, 4, 2, 9, 8, 5, 4, 16, 18, 13, 16, 10, 10, 5, 8, 25, 32, 25, 36, 20, 26, 17, 32, 17, 20, 13, 20, 10, 5, 16, 36, 50, 41, 64, 34, 50, 37, 72, 29, 40, 29, 52, 34, 25, 64, 26, 34, 25, 40, 26, 17, 40, 9, 20, 10, 9, 32, 49, 72, 61, 100, 52, 82, 65, 128, 45, 68]

cp's OEIS Frontend

A290538 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 square of the norm of the n-th term of S.

Table of values

List of values

n	a(n)
1	0
2	1
3	4
4	2
5	9
6	8
7	5
8	4
9	16
10	18
11	13
12	16
13	10
14	10
15	5
16	8
17	25
18	32
19	25
20	36
21	20
22	26
23	17
24	32
25	17
26	20
27	13
28	20
29	10
30	5
31	16
32	36
33	50
34	41
35	64
36	34
37	50
38	37
39	72
40	29
41	40
42	29
43	52
44	34
45	25
46	64
47	26
48	34
49	25
50	40
51	26
52	17
53	40
54	9
55	20
56	10
57	9
58	32
59	49
60	72
61	61
62	100
63	52
64	82
65	65
66	128
67	45
68	68

n	a(n)
1	0
2	1
3	4
4	2
5	9
6	8
7	5
8	4
9	16
10	18
11	13
12	16
13	10
14	10
15	5
16	8
17	25
18	32
19	25
20	36
21	20
22	26
23	17
24	32
25	17
26	20
27	13
28	20
29	10
30	5
31	16
32	36
33	50
34	41
35	64
36	34
37	50
38	37
39	72
40	29
41	40
42	29
43	52
44	34
45	25
46	64
47	26
48	34
49	25
50	40
51	26
52	17
53	40
54	9
55	20
56	10
57	9
58	32
59	49
60	72
61	61
62	100
63	52
64	82
65	65
66	128
67	45
68	68

n	a(n)
1	0
2	1
3	4
4	2
5	9
6	8
7	5
8	4
9	16
10	18
11	13
12	16
13	10
14	10
15	5
16	8
17	25
18	32
19	25
20	36
21	20
22	26
23	17
24	32
25	17
26	20
27	13
28	20
29	10
30	5
31	16
32	36
33	50
34	41
35	64
36	34
37	50
38	37
39	72
40	29
41	40
42	29
43	52
44	34
45	25
46	64
47	26
48	34
49	25
50	40
51	26
52	17
53	40
54	9
55	20
56	10
57	9
58	32
59	49
60	72
61	61
62	100
63	52
64	82
65	65
66	128
67	45
68	68