|
Search: id:A087035
|
|
|
| A087035 |
|
Maximum value taken on by f(P)=Sum[p(i)p(n+1-i),i=1..n] as {p(1),p(2),...,p(n)} ranges over all permutations P of {1,2,3,...n}. |
|
+0
2
|
| |
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
It appears that the corresponding minimum value of f(P) is given by A000292=C(n+3,3). The number of distinct values of f(P) as P ranges over all permutations of {1,2,3,...,n} is given by A087034.
|
|
EXAMPLE
|
a(3)=13, since f takes on the values 10 and 13: f({1,2,3})=10, f({1,3,2)}=13, f({2,1,3})=13, f({2,3,1})=13, f({3,1,2})=13 and f({3,2,1})=10.
|
|
CROSSREFS
|
Cf. A000292, A087034.
Sequence in context: A155356 A060488 A054968 this_sequence A112560 A009561 A155266
Adjacent sequences: A087032 A087033 A087034 this_sequence A087036 A087037 A087038
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
John W. Layman (layman(AT)math.vt.edu), Jul 31 2003
|
|
|
Search completed in 0.002 seconds
|
