|
|
A374283
|
|
a(n) is the maximal permanent of an n X n symmetric Toeplitz matrix having 0 on the main diagonal and all the integers 1, 2, ..., n-1 off-diagonal.
|
|
4
|
|
|
|
OFFSET
|
0,4
|
|
LINKS
|
|
|
EXAMPLE
|
a(5) = 9978:
[0, 4, 3, 2, 1]
[4, 0, 4, 3, 2]
[3, 4, 0, 4, 3]
[2, 3, 4, 0, 4]
[1, 2, 3, 4, 0]
|
|
MATHEMATICA
|
a[0]=1; a[n_]:=Max[Table[Permanent[ToeplitzMatrix[Join[{0}, Part[Permutations[Range[n - 1]], i]]]], {i, (n-1)!}]]; Array[a, 11, 0]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,hard,more
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|