A375473 - cp's OEIS frontend

A375473 a(n) is the area of the largest rectangle with integer sides that can be inscribed under the parabola y = -x^2 + n and on or above the x-axis.

n	a(n)
0	0
1	0
2	2
3	4
4	6
5	8
6	10
7	12
8	16
9	20
10	24
11	28
12	32
13	36
14	40
15	44
16	48
17	52
18	56
19	60
20	66
21	72
22	78
23	84
24	90
25	96
26	102
27	108
28	114
29	120
30	126
31	132
32	138
33	144
34	150
35	156
36	162
37	168
38	176
39	184
40	192
41	200
42	208
43	216
44	224
45	232
46	240
47	248
48	256
49	264
50	272
51	280
52	288
53	296
54	304
55	312
56	320
57	328
58	336

[0, 0, 2, 4, 6, 8, 10, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336]

cp's OEIS Frontend

A375473 a(n) is the area of the largest rectangle with integer sides that can be inscribed under the parabola y = -x^2 + n and on or above the x-axis.

Table of values

List of values

n	a(n)
0	0
1	0
2	2
3	4
4	6
5	8
6	10
7	12
8	16
9	20
10	24
11	28
12	32
13	36
14	40
15	44
16	48
17	52
18	56
19	60
20	66
21	72
22	78
23	84
24	90
25	96
26	102
27	108
28	114
29	120
30	126
31	132
32	138
33	144
34	150
35	156
36	162
37	168
38	176
39	184
40	192
41	200
42	208
43	216
44	224
45	232
46	240
47	248
48	256
49	264
50	272
51	280
52	288
53	296
54	304
55	312
56	320
57	328
58	336

n	a(n)
0	0
1	0
2	2
3	4
4	6
5	8
6	10
7	12
8	16
9	20
10	24
11	28
12	32
13	36
14	40
15	44
16	48
17	52
18	56
19	60
20	66
21	72
22	78
23	84
24	90
25	96
26	102
27	108
28	114
29	120
30	126
31	132
32	138
33	144
34	150
35	156
36	162
37	168
38	176
39	184
40	192
41	200
42	208
43	216
44	224
45	232
46	240
47	248
48	256
49	264
50	272
51	280
52	288
53	296
54	304
55	312
56	320
57	328
58	336

n	a(n)
0	0
1	0
2	2
3	4
4	6
5	8
6	10
7	12
8	16
9	20
10	24
11	28
12	32
13	36
14	40
15	44
16	48
17	52
18	56
19	60
20	66
21	72
22	78
23	84
24	90
25	96
26	102
27	108
28	114
29	120
30	126
31	132
32	138
33	144
34	150
35	156
36	162
37	168
38	176
39	184
40	192
41	200
42	208
43	216
44	224
45	232
46	240
47	248
48	256
49	264
50	272
51	280
52	288
53	296
54	304
55	312
56	320
57	328
58	336