A300153 - cp's OEIS frontend

A300153 Square array T(n, k) read by antidiagonals upwards, n > 0 and k > 0: T(n, k) is the number of parts inscribed in a rose or rhodonea curve with polar coordinates r = cos(t * (k/n)).

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

[1, 4, 4, 2, 1, 3, 8, 12, 12, 8, 3, 4, 1, 4, 5, 12, 20, 24, 24, 20, 12, 4, 2, 9, 1, 10, 3, 7, 16, 28, 4, 40, 40, 4, 28, 16, 5, 8, 12, 12, 1, 12, 14, 8, 9, 20, 36, 48, 56, 60, 60, 56, 48, 36, 20, 6, 3, 2, 4, 20, 1, 21, 4, 3, 5, 11, 24, 44, 60, 72, 80, 84, 84, 80]

cp's OEIS Frontend

A300153 Square array T(n, k) read by antidiagonals upwards, n > 0 and k > 0: T(n, k) is the number of parts inscribed in a rose or rhodonea curve with polar coordinates r = cos(t * (k/n)).

Table of values

List of values

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

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

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