A238158 - cp's OEIS frontend

A238158 Bicycle lock numbers: triangle T(n,k) with 1<=k<=n, where T(n,k) is the maximum value of min{xy, (n-x)(k-y)} over 0 <= x <= n, 0 <= y <= k for integers x, y.

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

[0, 0, 1, 0, 1, 2, 0, 2, 2, 4, 0, 2, 3, 4, 6, 0, 3, 4, 6, 6, 9, 0, 3, 4, 6, 8, 9, 12, 0, 4, 5, 8, 9, 12, 12, 16, 0, 4, 6, 8, 10, 12, 15, 16, 20, 0, 5, 6, 10, 12, 15, 16, 20, 20, 25, 0, 5, 7, 10, 12, 15, 18, 20, 24, 25, 30, 0, 6, 8, 12, 14, 18, 20, 24, 25, 30]

cp's OEIS Frontend

A238158 Bicycle lock numbers: triangle T(n,k) with 1<=k<=n, where T(n,k) is the maximum value of min{xy, (n-x)(k-y)} over 0 <= x <= n, 0 <= y <= k for integers x, y.

Table of values

List of values

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

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

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