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A350931
Maximal determinant of an n X n Toeplitz matrix using the integers 1 to 2*n - 1.
10
1, 1, 7, 105, 2294, 71753, 3051554, 175457984
OFFSET
0,3
COMMENTS
Also maximal absolute value of the determinant of an n X n Hankel matrix using the integers 1 to 2*n - 1. - Stefano Spezia, Dec 22 2023
LINKS
EXAMPLE
a(2) = 7:
[3 1]
[2 3]
a(3) = 105:
[5 1 3]
[4 5 1]
[2 4 5]
PROG
(Python)
from itertools import permutations
from sympy import Matrix
def A350931(n): return max(Matrix([p[n-1-i:2*n-1-i] for i in range(n)]).det() for p in permutations(range(1, 2*n))) # Chai Wah Wu, Jan 27 2022
CROSSREFS
Cf. A322908, A323254, A350930 (minimal).
Sequence in context: A131869 A132867 A145666 * A344445 A238464 A360347
KEYWORD
nonn,hard,more
AUTHOR
Stefano Spezia, Jan 25 2022
EXTENSIONS
a(5) from Alois P. Heinz, Jan 25 2022
a(6) from Pontus von Brömssen, Jan 26 2022
a(7) from Lucas A. Brown, Aug 28 2022
STATUS
approved