A354704 - cp's OEIS frontend

A354704 T(w,h) is a lower bound for the maximum number of grid points in a square grid covered by an arbitrarily positioned and rotated rectangle of width w and height h, excluding the trivial case of an axis-parallel unshifted cover, where T(w,h) is a triangle read by rows.

n	a(n)
1	2
2	3
3	5
4	5
5	8
6	13
7	6
8	10
9	15
10	18
11	8
12	12
13	20
14	24
15	32
16	9
17	14
18	23
19	27
20	36
21	41
22	10
23	17
24	25
25	30
26	40
27	45
28	53
29	12
30	19
31	30
32	36
33	48
34	54
35	60
36	72
37	13
38	21
39	33
40	39
41	52
42	59
43	68
44	78
45	89
46	15
47	23
48	38
49	45
50	60
51	68
52	75
53	90
54	98
55	113
56	16
57	25
58	40
59	48
60	64
61	72
62	81
63	96
64	105
65	120
66	128
67	17
68	28
69	43
70	52
71	68
72	77
73	88
74	102
75	114
76	128
77	137
78	149

[2, 3, 5, 5, 8, 13, 6, 10, 15, 18, 8, 12, 20, 24, 32, 9, 14, 23, 27, 36, 41, 10, 17, 25, 30, 40, 45, 53, 12, 19, 30, 36, 48, 54, 60, 72, 13, 21, 33, 39, 52, 59, 68, 78, 89, 15, 23, 38, 45, 60, 68, 75, 90, 98, 113, 16, 25, 40, 48, 64, 72, 81, 96, 105, 120, 128, 17, 28, 43, 52, 68, 77, 88, 102, 114, 128, 137, 149]

cp's OEIS Frontend

A354704 T(w,h) is a lower bound for the maximum number of grid points in a square grid covered by an arbitrarily positioned and rotated rectangle of width w and height h, excluding the trivial case of an axis-parallel unshifted cover, where T(w,h) is a triangle read by rows.

Table of values

List of values

n	a(n)
1	2
2	3
3	5
4	5
5	8
6	13
7	6
8	10
9	15
10	18
11	8
12	12
13	20
14	24
15	32
16	9
17	14
18	23
19	27
20	36
21	41
22	10
23	17
24	25
25	30
26	40
27	45
28	53
29	12
30	19
31	30
32	36
33	48
34	54
35	60
36	72
37	13
38	21
39	33
40	39
41	52
42	59
43	68
44	78
45	89
46	15
47	23
48	38
49	45
50	60
51	68
52	75
53	90
54	98
55	113
56	16
57	25
58	40
59	48
60	64
61	72
62	81
63	96
64	105
65	120
66	128
67	17
68	28
69	43
70	52
71	68
72	77
73	88
74	102
75	114
76	128
77	137
78	149

n	a(n)
1	2
2	3
3	5
4	5
5	8
6	13
7	6
8	10
9	15
10	18
11	8
12	12
13	20
14	24
15	32
16	9
17	14
18	23
19	27
20	36
21	41
22	10
23	17
24	25
25	30
26	40
27	45
28	53
29	12
30	19
31	30
32	36
33	48
34	54
35	60
36	72
37	13
38	21
39	33
40	39
41	52
42	59
43	68
44	78
45	89
46	15
47	23
48	38
49	45
50	60
51	68
52	75
53	90
54	98
55	113
56	16
57	25
58	40
59	48
60	64
61	72
62	81
63	96
64	105
65	120
66	128
67	17
68	28
69	43
70	52
71	68
72	77
73	88
74	102
75	114
76	128
77	137
78	149

n	a(n)
1	2
2	3
3	5
4	5
5	8
6	13
7	6
8	10
9	15
10	18
11	8
12	12
13	20
14	24
15	32
16	9
17	14
18	23
19	27
20	36
21	41
22	10
23	17
24	25
25	30
26	40
27	45
28	53
29	12
30	19
31	30
32	36
33	48
34	54
35	60
36	72
37	13
38	21
39	33
40	39
41	52
42	59
43	68
44	78
45	89
46	15
47	23
48	38
49	45
50	60
51	68
52	75
53	90
54	98
55	113
56	16
57	25
58	40
59	48
60	64
61	72
62	81
63	96
64	105
65	120
66	128
67	17
68	28
69	43
70	52
71	68
72	77
73	88
74	102
75	114
76	128
77	137
78	149