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A350953
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Minimal determinant of an n X n symmetric Toeplitz matrix using the integers 1 to n.
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8
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1, 1, -3, -12, -100, -1749, -47600, -800681, -39453535, -1351201968, -66984136299, -2938096403400, -235011452211680
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OFFSET
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0,3
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LINKS
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EXAMPLE
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a(3) = -12:
2 3 1
3 2 3
1 3 2
a(4) = -100:
3 4 1 2
4 3 4 1
1 4 3 4
2 1 4 3
a(5) = -1749:
5 4 1 3 2
4 5 4 1 3
1 4 5 4 1
3 1 4 5 4
2 3 1 4 5
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PROG
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(Python)
from itertools import permutations
from sympy import Matrix
def A350953(n): return min(Matrix([p[i:0:-1]+p[0:n-i] for i in range(n)]).det() for p in permutations(range(1, n+1))) # Chai Wah Wu, Jan 27 2022
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CROSSREFS
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KEYWORD
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sign,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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