A092990 - cp's OEIS frontend

A092990 Least product of the partitions of n into two parts with maximal tau value: let n = a+b be a partition of n, then a(n) = ab such that tau(ab) is maximal.

n	a(n)
2	1
3	2
4	4
5	6
6	8
7	12
8	12
9	18
10	24
11	24
12	36
13	36
14	48
15	36
16	60
17	60
18	72
19	60
20	84
21	90
22	120
23	120
24	144
25	144
26	120
27	180
28	180
29	180
30	216
31	240
32	240
33	252
34	240
35	300
36	180
37	336
38	360
39	360
40	336
41	420
42	360
43	420
44	420
45	504
46	360
47	420
48	540
49	360
50	504
51	540
52	420
53	360
54	720
55	600
56	720
57	540
58	840
59	840

[1, 2, 4, 6, 8, 12, 12, 18, 24, 24, 36, 36, 48, 36, 60, 60, 72, 60, 84, 90, 120, 120, 144, 144, 120, 180, 180, 180, 216, 240, 240, 252, 240, 300, 180, 336, 360, 360, 336, 420, 360, 420, 420, 504, 360, 420, 540, 360, 504, 540, 420, 360, 720, 600, 720, 540, 840, 840]

cp's OEIS Frontend

A092990 Least product of the partitions of n into two parts with maximal tau value: let n = a+b be a partition of n, then a(n) = ab such that tau(ab) is maximal.

Table of values

List of values

n	a(n)
2	1
3	2
4	4
5	6
6	8
7	12
8	12
9	18
10	24
11	24
12	36
13	36
14	48
15	36
16	60
17	60
18	72
19	60
20	84
21	90
22	120
23	120
24	144
25	144
26	120
27	180
28	180
29	180
30	216
31	240
32	240
33	252
34	240
35	300
36	180
37	336
38	360
39	360
40	336
41	420
42	360
43	420
44	420
45	504
46	360
47	420
48	540
49	360
50	504
51	540
52	420
53	360
54	720
55	600
56	720
57	540
58	840
59	840

n	a(n)
2	1
3	2
4	4
5	6
6	8
7	12
8	12
9	18
10	24
11	24
12	36
13	36
14	48
15	36
16	60
17	60
18	72
19	60
20	84
21	90
22	120
23	120
24	144
25	144
26	120
27	180
28	180
29	180
30	216
31	240
32	240
33	252
34	240
35	300
36	180
37	336
38	360
39	360
40	336
41	420
42	360
43	420
44	420
45	504
46	360
47	420
48	540
49	360
50	504
51	540
52	420
53	360
54	720
55	600
56	720
57	540
58	840
59	840

cp's OEIS Frontend

A092990 Least product of the partitions of n into two parts with maximal tau value: let n = a+b be a partition of n, then a(n) = a*b such that tau(a*b) is maximal.

Table of values

List of values

A092990 Least product of the partitions of n into two parts with maximal tau value: let n = a+b be a partition of n, then a(n) = ab such that tau(ab) is maximal.

n	a(n)
2	1
3	2
4	4
5	6
6	8
7	12
8	12
9	18
10	24
11	24
12	36
13	36
14	48
15	36
16	60
17	60
18	72
19	60
20	84
21	90
22	120
23	120
24	144
25	144
26	120
27	180
28	180
29	180
30	216
31	240
32	240
33	252
34	240
35	300
36	180
37	336
38	360
39	360
40	336
41	420
42	360
43	420
44	420
45	504
46	360
47	420
48	540
49	360
50	504
51	540
52	420
53	360
54	720
55	600
56	720
57	540
58	840
59	840