|
|
A358324
|
|
a(n) is the maximal determinant of an n X n symmetric Toeplitz matrix using the integers 0 to n - 1.
|
|
7
|
|
|
1, 0, 1, 8, 63, 2090, 36875, 1123653, 34292912, 1246207300, 53002204560, 2418538080316, 215120941720912
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,4
|
|
LINKS
|
|
|
EXAMPLE
|
a(3) = 8:
[0, 2, 1;
2, 0, 2;
1, 2, 0]
a(4) = 63:
[1, 3, 2, 0;
3, 1, 3, 2;
2, 3, 1, 3;
0, 2, 3, 1]
a(5) = 2090:
[2, 4, 0, 1, 3;
4, 2, 4, 0, 1;
0, 4, 2, 4, 0;
1, 0, 4, 2, 4;
3, 1, 0, 4, 2]
|
|
MATHEMATICA
|
Join[{1}, Table[Max[Table[Det[ToeplitzMatrix[Part[Permutations[Join[{0}, Range[n-1]]], i]]], {i, n!}]], {n, 9}]]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,hard,more
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|