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A350956
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Maximal determinant of an n X n symmetric Toeplitz matrix using the first n prime numbers.
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9
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1, 2, 5, 64, 1107, 160160, 5713367, 889747443, 62837596341, 11671262491586, 3090090680653053, 635672008069583520, 278356729040728193703
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OFFSET
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0,2
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LINKS
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EXAMPLE
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a(3) = 64:
[5 2 3]
[2 5 2]
[3 2 5]
a(4) = 1107:
[3 2 7 5]
[2 3 2 7]
[7 2 3 2]
[5 7 2 3]
a(5) = 160160:
[ 5 11 2 3 7]
[11 5 11 2 3]
[ 2 11 5 11 2]
[ 3 2 11 5 11]
[ 7 3 2 11 5]
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PROG
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(Python)
from itertools import permutations
from sympy import Matrix, prime
def A350956(n): return max(Matrix([p[i:0:-1]+p[0:n-i] for i in range(n)]).det() for p in permutations(prime(i) for i in range(1, n+1))) # 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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