A233399 - cp's OEIS frontend

A233399 A "turtle transform" of the primes p=A000040: coordinates (x,y)=(a(2n),a(2n+1)) of a walk on the complex plane, where at step n the cursor turns by arg(i^p(n)), then moves p(n) units ahead.

n	a(n)
0	0
1	0
2	-2
3	0
4	-2
5	3
6	-7
7	3
8	-7
9	10
10	4
11	10
12	4
13	23
14	-13
15	23
16	-13
17	42
18	10
19	42
20	10
21	71
22	41
23	71
24	41
25	108
26	0
27	108
28	0
29	151
30	47
31	151
32	47
33	204
34	106
35	204
36	106
37	265
38	173
39	265
40	173
41	194
42	246
43	194
44	246
45	115
46	163
47	115
48	163
49	26
50	260
51	26
52	260
53	127
54	363
55	127
56	363
57	20

[0, 0, -2, 0, -2, 3, -7, 3, -7, 10, 4, 10, 4, 23, -13, 23, -13, 42, 10, 42, 10, 71, 41, 71, 41, 108, 0, 108, 0, 151, 47, 151, 47, 204, 106, 204, 106, 265, 173, 265, 173, 194, 246, 194, 246, 115, 163, 115, 163, 26, 260, 26, 260, 127, 363, 127, 363, 20]

cp's OEIS Frontend

A233399 A "turtle transform" of the primes p=A000040: coordinates (x,y)=(a(2n),a(2n+1)) of a walk on the complex plane, where at step n the cursor turns by arg(i^p(n)), then moves p(n) units ahead.

Table of values

List of values

n	a(n)
0	0
1	0
2	-2
3	0
4	-2
5	3
6	-7
7	3
8	-7
9	10
10	4
11	10
12	4
13	23
14	-13
15	23
16	-13
17	42
18	10
19	42
20	10
21	71
22	41
23	71
24	41
25	108
26	0
27	108
28	0
29	151
30	47
31	151
32	47
33	204
34	106
35	204
36	106
37	265
38	173
39	265
40	173
41	194
42	246
43	194
44	246
45	115
46	163
47	115
48	163
49	26
50	260
51	26
52	260
53	127
54	363
55	127
56	363
57	20

n	a(n)
0	0
1	0
2	-2
3	0
4	-2
5	3
6	-7
7	3
8	-7
9	10
10	4
11	10
12	4
13	23
14	-13
15	23
16	-13
17	42
18	10
19	42
20	10
21	71
22	41
23	71
24	41
25	108
26	0
27	108
28	0
29	151
30	47
31	151
32	47
33	204
34	106
35	204
36	106
37	265
38	173
39	265
40	173
41	194
42	246
43	194
44	246
45	115
46	163
47	115
48	163
49	26
50	260
51	26
52	260
53	127
54	363
55	127
56	363
57	20

n	a(n)
0	0
1	0
2	-2
3	0
4	-2
5	3
6	-7
7	3
8	-7
9	10
10	4
11	10
12	4
13	23
14	-13
15	23
16	-13
17	42
18	10
19	42
20	10
21	71
22	41
23	71
24	41
25	108
26	0
27	108
28	0
29	151
30	47
31	151
32	47
33	204
34	106
35	204
36	106
37	265
38	173
39	265
40	173
41	194
42	246
43	194
44	246
45	115
46	163
47	115
48	163
49	26
50	260
51	26
52	260
53	127
54	363
55	127
56	363
57	20