A385566 - cp's OEIS frontend

A385566 a(n) is the smallest positive integer k such that the Diophantine equation x^3 + y^3 + z^3 = k^6, where 0 < x < y < z has exactly n integer solutions.

n	a(n)
1	3
2	6
3	16
4	12
5	27
6	63
7	38
8	24
9	94
10	18
11	123
12	42
13	93
14	75
15	141
16	48
17	66
18	36
19	153
20	60
21	140
22	96
23	279
24	114
25	200
26	138
27	410
28	174
29	72
30	126
31	186
32	168
33	204
34	150
35	108
36	426
37	132
38	220
39	418
40	246
41	498
42	736
43	144
44	120
45	294
46	306
47	210
48	666
49	282
50	378
51	252
52	770
53	216
54	460
55	462
56	534
57	180

[3, 6, 16, 12, 27, 63, 38, 24, 94, 18, 123, 42, 93, 75, 141, 48, 66, 36, 153, 60, 140, 96, 279, 114, 200, 138, 410, 174, 72, 126, 186, 168, 204, 150, 108, 426, 132, 220, 418, 246, 498, 736, 144, 120, 294, 306, 210, 666, 282, 378, 252, 770, 216, 460, 462, 534, 180]

cp's OEIS Frontend

A385566 a(n) is the smallest positive integer k such that the Diophantine equation x^3 + y^3 + z^3 = k^6, where 0 < x < y < z has exactly n integer solutions.

Table of values

List of values

n	a(n)
1	3
2	6
3	16
4	12
5	27
6	63
7	38
8	24
9	94
10	18
11	123
12	42
13	93
14	75
15	141
16	48
17	66
18	36
19	153
20	60
21	140
22	96
23	279
24	114
25	200
26	138
27	410
28	174
29	72
30	126
31	186
32	168
33	204
34	150
35	108
36	426
37	132
38	220
39	418
40	246
41	498
42	736
43	144
44	120
45	294
46	306
47	210
48	666
49	282
50	378
51	252
52	770
53	216
54	460
55	462
56	534
57	180

n	a(n)
1	3
2	6
3	16
4	12
5	27
6	63
7	38
8	24
9	94
10	18
11	123
12	42
13	93
14	75
15	141
16	48
17	66
18	36
19	153
20	60
21	140
22	96
23	279
24	114
25	200
26	138
27	410
28	174
29	72
30	126
31	186
32	168
33	204
34	150
35	108
36	426
37	132
38	220
39	418
40	246
41	498
42	736
43	144
44	120
45	294
46	306
47	210
48	666
49	282
50	378
51	252
52	770
53	216
54	460
55	462
56	534
57	180

n	a(n)
1	3
2	6
3	16
4	12
5	27
6	63
7	38
8	24
9	94
10	18
11	123
12	42
13	93
14	75
15	141
16	48
17	66
18	36
19	153
20	60
21	140
22	96
23	279
24	114
25	200
26	138
27	410
28	174
29	72
30	126
31	186
32	168
33	204
34	150
35	108
36	426
37	132
38	220
39	418
40	246
41	498
42	736
43	144
44	120
45	294
46	306
47	210
48	666
49	282
50	378
51	252
52	770
53	216
54	460
55	462
56	534
57	180