A317254 - cp's OEIS frontend

A317254 a(n) is the smallest integer such that for all s >= a(n), there are at least n-1 different partitions of s into n parts, namely {x_{11},x_{12},...,x_{1n}}, {x_{21},x_{22},...,x_{2n}},..., and {x_{n-1,1},x_{n-1,2},...,x_{n-1,n}}, such that the products of every set are equal.

n	a(n)
3	19
4	23
5	23
6	26
7	27
8	29
9	31
10	32
11	35
12	36
13	38
14	40
15	42
16	44
17	45
18	47
19	49
20	50
21	52
22	53
23	54
24	55
25	57
26	58
27	59
28	61
29	62
30	63
31	64
32	66
33	67
34	69
35	70
36	71
37	73
38	74
39	75
40	77
41	78
42	80
43	81
44	82
45	84
46	85
47	86
48	87
49	88
50	89
51	90
52	91
53	93
54	94
55	95
56	96
57	97
58	99
59	100
60	101

[19, 23, 23, 26, 27, 29, 31, 32, 35, 36, 38, 40, 42, 44, 45, 47, 49, 50, 52, 53, 54, 55, 57, 58, 59, 61, 62, 63, 64, 66, 67, 69, 70, 71, 73, 74, 75, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 99, 100, 101]

cp's OEIS Frontend

A317254 a(n) is the smallest integer such that for all s >= a(n), there are at least n-1 different partitions of s into n parts, namely {x_{11},x_{12},...,x_{1n}}, {x_{21},x_{22},...,x_{2n}},..., and {x_{n-1,1},x_{n-1,2},...,x_{n-1,n}}, such that the products of every set are equal.

Table of values

List of values

n	a(n)
3	19
4	23
5	23
6	26
7	27
8	29
9	31
10	32
11	35
12	36
13	38
14	40
15	42
16	44
17	45
18	47
19	49
20	50
21	52
22	53
23	54
24	55
25	57
26	58
27	59
28	61
29	62
30	63
31	64
32	66
33	67
34	69
35	70
36	71
37	73
38	74
39	75
40	77
41	78
42	80
43	81
44	82
45	84
46	85
47	86
48	87
49	88
50	89
51	90
52	91
53	93
54	94
55	95
56	96
57	97
58	99
59	100
60	101

n	a(n)
3	19
4	23
5	23
6	26
7	27
8	29
9	31
10	32
11	35
12	36
13	38
14	40
15	42
16	44
17	45
18	47
19	49
20	50
21	52
22	53
23	54
24	55
25	57
26	58
27	59
28	61
29	62
30	63
31	64
32	66
33	67
34	69
35	70
36	71
37	73
38	74
39	75
40	77
41	78
42	80
43	81
44	82
45	84
46	85
47	86
48	87
49	88
50	89
51	90
52	91
53	93
54	94
55	95
56	96
57	97
58	99
59	100
60	101

n	a(n)
3	19
4	23
5	23
6	26
7	27
8	29
9	31
10	32
11	35
12	36
13	38
14	40
15	42
16	44
17	45
18	47
19	49
20	50
21	52
22	53
23	54
24	55
25	57
26	58
27	59
28	61
29	62
30	63
31	64
32	66
33	67
34	69
35	70
36	71
37	73
38	74
39	75
40	77
41	78
42	80
43	81
44	82
45	84
46	85
47	86
48	87
49	88
50	89
51	90
52	91
53	93
54	94
55	95
56	96
57	97
58	99
59	100
60	101