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URL: https://oeis.org/A350955

⇱ A350955 - OEIS

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A350955
Minimal determinant of an n X n symmetric Toeplitz matrix using the first n prime numbers.
9
1, 2, -5, -35, -435, -87986, -7186995, -496722800, -68316404507, -9102428703537, -3721326642272925, -488684390484513105, -195315251884652232704
OFFSET
0,2
EXAMPLE
a(3) = -35:
[3 5 2]
[5 3 5]
[2 5 3]
a(4) = -435:
[5 7 2 3]
[7 5 7 2]
[2 7 5 7]
[3 2 7 5]
a(5) = -87986:
[ 2 3 11 5 7]
[ 3 2 3 11 5]
[11 3 2 3 11]
[ 5 11 3 2 3]
[ 7 5 11 3 2]
PROG
(Python)
from itertools import permutations
from sympy import Matrix, prime
def A350955(n): return min(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
CROSSREFS
Cf. A350932, A350956 (maximal), A348891.
Sequence in context: A272678 A063443 A133473 * A193323 A238752 A099137
KEYWORD
sign,hard,more
AUTHOR
Stefano Spezia, Jan 27 2022
EXTENSIONS
a(9) from Alois P. Heinz, Jan 27 2022
a(10)-a(12) from Lucas A. Brown, Aug 29 2022
STATUS
approved