A350930 Minimal determinant of an n X n Toeplitz matrix using the integers 1 to 2*n - 1.

1, 1, -5, -42, -1810, -48098, -2737409, -114381074

Offset

0,3

Links

Table of n, a(n) for n=0..7.

Lucas A. Brown, A350930+1.py

Wikipedia, Toeplitz Matrix

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: A204235 A188405 A216334 * A368352 A132487 A178614

Adjacent sequences: A350927 A350928 A350929 * A350931 A350932 A350933

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