login
A350930
Minimal determinant of an n X n Toeplitz matrix using the integers 1 to 2*n - 1.
6
1, 1, -5, -42, -1810, -48098, -2737409, -114381074
OFFSET
0,3
LINKS
EXAMPLE
a(2) = -5:
[1 2]
[3 1]
a(3) = -42:
[3 4 1]
[5 3 4]
[2 5 3]
PROG
(Python)
from itertools import permutations
from sympy import Matrix
def A350930(n): return min(Matrix([p[n-1-i:2*n-1-i] for i in range(n)]).det() for p in permutations(range(1, 2*n))) # Chai Wah Wu, Jan 27 2022
CROSSREFS
Cf. A322908, A323254, A350931 (maximal).
Sequence in context: A188405 A216334 A374067 * A368352 A132487 A178614
KEYWORD
sign,hard,more
AUTHOR
Stefano Spezia, Jan 25 2022
EXTENSIONS
a(5) from Alois P. Heinz, Jan 25 2022
a(6) from Pontus von Brömssen, Jan 26 2022
a(7) from Lucas A. Brown, Aug 28 2022
STATUS
approved