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URL: https://oeis.org/A348891

⇱ A348891 - OEIS

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A348891
Minimal absolute value of determinant of a nonsingular n X n symmetric Toeplitz matrix using the first n prime numbers.
10
1, 2, 5, 12, 11, 22, 84, 1368, 73, 589, 15057, 2520, 28209
OFFSET
0,2
EXAMPLE
a(3) = 12:
2 3 5
3 2 3
5 3 2
a(4) = 11:
2 5 3 7
5 2 5 3
3 5 2 5
7 3 5 2
a(5) = 22:
2 3 5 7 11
3 2 3 5 7
5 3 2 3 5
7 5 3 2 3
11 7 5 3 2
PROG
(Python)
from itertools import permutations
from sympy import Matrix, prime
def A348891(n): return min(d for d in (abs(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))) if d > 0) # Chai Wah Wu, Jan 28 2022
CROSSREFS
Sequence in context: A070266 A125199 A103832 * A191368 A392292 A392293
KEYWORD
nonn,hard,more
AUTHOR
EXTENSIONS
a(9) from Alois P. Heinz, Jan 28 2022
a(10)-a(12) from Lucas A. Brown, Aug 31 2022
STATUS
approved