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A350931
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Maximal determinant of an n X n Toeplitz matrix using the integers 1 to 2*n - 1.
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10
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OFFSET
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0,3
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COMMENTS
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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
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LINKS
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EXAMPLE
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a(2) = 7:
[3 1]
[2 3]
a(3) = 105:
[5 1 3]
[4 5 1]
[2 4 5]
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PROG
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(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
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CROSSREFS
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KEYWORD
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nonn,hard,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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