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A350932
Minimal determinant of an n X n Toeplitz matrix using the first 2*n - 1 prime numbers, with a(0) = 1.
5
1, 2, -11, -286, -57935, -5696488, -1764195984, -521528189252
OFFSET
0,2
EXAMPLE
a(2) = -11:
2 3
5 2
a(3) = -286:
5 7 2
11 5 7
3 11 5
MAPLE
f:= proc(n) local i;
min(map(t -> LinearAlgebra:-Determinant(LinearAlgebra:-ToeplitzMatrix(t)), combinat:-permute([seq(ithprime(i), i=1..2*n-1)]))) end proc:
f(0):= 1:
map(f, [$0..5]); # Robert Israel, Apr 01 2024
PROG
(Python)
from itertools import permutations
from sympy import Matrix, prime
def A350932(n): return min(Matrix([p[n-1-i:2*n-1-i] for i in range(n)]).det() for p in permutations(prime(i) for i in range(1, 2*n))) # Chai Wah Wu, Jan 27 2022
CROSSREFS
Cf. A318173, A350930, A350933 (maximal).
Sequence in context: A248865 A072386 A185122 * A369947 A198894 A367798
KEYWORD
sign,hard,more
AUTHOR
Stefano Spezia, Jan 25 2022
EXTENSIONS
a(5) from Alois P. Heinz, Jan 25 2022
a(6)-a(7) from Lucas A. Brown, Aug 27 2022
STATUS
approved