A088003 - cp's OEIS frontend

A088003 Take the list t(n,0) = {1,...,n}; denote by t(n,j) this list after rotating to left (or right) by j positions. Calculate inner product of t(n,0) and t(n,j) and denote the value by s(n,j). Compute this inner product for all j = 1..n and choose the smallest. This is a(n).

n	a(n)
1	1
2	4
3	11
4	22
5	40
6	64
7	98
8	140
9	195
10	260
11	341
12	434
13	546
14	672
15	820
16	984
17	1173
18	1380
19	1615
20	1870
21	2156
22	2464
23	2806
24	3172
25	3575
26	4004
27	4473
28	4970
29	5510
30	6080
31	6696
32	7344
33	8041
34	8772
35	9555
36	10374
37	11248
38	12160
39	13130
40	14140
41	15211
42	16324
43	17501
44	18722
45	20010

[1, 4, 11, 22, 40, 64, 98, 140, 195, 260, 341, 434, 546, 672, 820, 984, 1173, 1380, 1615, 1870, 2156, 2464, 2806, 3172, 3575, 4004, 4473, 4970, 5510, 6080, 6696, 7344, 8041, 8772, 9555, 10374, 11248, 12160, 13130, 14140, 15211, 16324, 17501, 18722, 20010]

cp's OEIS Frontend

A088003 Take the list t(n,0) = {1,...,n}; denote by t(n,j) this list after rotating to left (or right) by j positions. Calculate inner product of t(n,0) and t(n,j) and denote the value by s(n,j). Compute this inner product for all j = 1..n and choose the smallest. This is a(n).

Table of values

List of values