A360029 - cp's OEIS frontend

A360029 Consider a ruler composed of n segments with lengths 1, 1/2, 1/3, ..., 1/n with total length A001008(n)/A002805(n). a(n) is the minimum number of distinct distances of all pairs of marks that can be achieved by permuting the positions of the segments.

n	a(n)
1	1
2	3
3	6
4	10
5	15
6	18
7	25
8	33
9	42
10	52
11	63
12	71
13	84
14	98
15	107
16	123
17	140
18	152
19	171
20	185
21	198
22	220
23	243
24	256
25	281
26	307
27	334
28	354
29	383
30	403
31	434
32	466
33	489
34	523
35	552
36	581
37	618
38	656
39	695
40	728

[1, 3, 6, 10, 15, 18, 25, 33, 42, 52, 63, 71, 84, 98, 107, 123, 140, 152, 171, 185, 198, 220, 243, 256, 281, 307, 334, 354, 383, 403, 434, 466, 489, 523, 552, 581, 618, 656, 695, 728]

cp's OEIS Frontend

A360029 Consider a ruler composed of n segments with lengths 1, 1/2, 1/3, ..., 1/n with total length A001008(n)/A002805(n). a(n) is the minimum number of distinct distances of all pairs of marks that can be achieved by permuting the positions of the segments.

Table of values

List of values

n	a(n)
1	1
2	3
3	6
4	10
5	15
6	18
7	25
8	33
9	42
10	52
11	63
12	71
13	84
14	98
15	107
16	123
17	140
18	152
19	171
20	185
21	198
22	220
23	243
24	256
25	281
26	307
27	334
28	354
29	383
30	403
31	434
32	466
33	489
34	523
35	552
36	581
37	618
38	656
39	695
40	728

n	a(n)
1	1
2	3
3	6
4	10
5	15
6	18
7	25
8	33
9	42
10	52
11	63
12	71
13	84
14	98
15	107
16	123
17	140
18	152
19	171
20	185
21	198
22	220
23	243
24	256
25	281
26	307
27	334
28	354
29	383
30	403
31	434
32	466
33	489
34	523
35	552
36	581
37	618
38	656
39	695
40	728

n	a(n)
1	1
2	3
3	6
4	10
5	15
6	18
7	25
8	33
9	42
10	52
11	63
12	71
13	84
14	98
15	107
16	123
17	140
18	152
19	171
20	185
21	198
22	220
23	243
24	256
25	281
26	307
27	334
28	354
29	383
30	403
31	434
32	466
33	489
34	523
35	552
36	581
37	618
38	656
39	695
40	728