A289236 - cp's OEIS frontend

A289236 Square array a(p,q) read by antidiagonals: a(p,q) = the number of line segments that constitute the trajectory of a billiard ball on a pool table with dimensions p X q, before the ball reaches a corner.

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

[1, 2, 2, 3, 1, 3, 4, 4, 4, 4, 5, 2, 1, 2, 5, 6, 6, 6, 6, 6, 6, 7, 3, 7, 1, 7, 3, 7, 8, 8, 2, 8, 8, 2, 8, 8, 9, 4, 9, 4, 1, 4, 9, 4, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 5, 3, 2, 11, 1, 11, 2, 3, 5, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]

cp's OEIS Frontend

A289236 Square array a(p,q) read by antidiagonals: a(p,q) = the number of line segments that constitute the trajectory of a billiard ball on a pool table with dimensions p X q, before the ball reaches a corner.

Table of values

List of values

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

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

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