A087035 - cp's OEIS frontend

A087035 Maximum value taken on by f(P) = Sum_{i=1..n} p(i)*p(n+1-i) as {p(1),p(2),...,p(n)} ranges over all permutations P of {1,2,3,...,n}.

n	a(n)
0	0
1	1
2	4
3	13
4	28
5	53
6	88
7	137
8	200
9	281
10	380
11	501
12	644
13	813
14	1008
15	1233
16	1488
17	1777
18	2100
19	2461
20	2860
21	3301
22	3784
23	4313
24	4888
25	5513
26	6188
27	6917
28	7700
29	8541
30	9440
31	10401
32	11424
33	12513
34	13668
35	14893
36	16188
37	17557
38	19000
39	20521
40	22120
41	23801
42	25564
43	27413
44	29348

[0, 1, 4, 13, 28, 53, 88, 137, 200, 281, 380, 501, 644, 813, 1008, 1233, 1488, 1777, 2100, 2461, 2860, 3301, 3784, 4313, 4888, 5513, 6188, 6917, 7700, 8541, 9440, 10401, 11424, 12513, 13668, 14893, 16188, 17557, 19000, 20521, 22120, 23801, 25564, 27413, 29348]

cp's OEIS Frontend

A087035 Maximum value taken on by f(P) = Sum_{i=1..n} p(i)*p(n+1-i) as {p(1),p(2),...,p(n)} ranges over all permutations P of {1,2,3,...,n}.

Table of values

List of values