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 A358325 a(n) is the minimal absolute value of determinant of a nonsingular n X n symmetric Toeplitz matrix using the integers 0 to n - 1. 4
 1, 3, 12, 2, 11, 10, 5, 4, 1, 4, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,2 LINKS Table of n, a(n) for n=2..12. Lucas A. Brown, Python program. Wikipedia, Toeplitz Matrix EXAMPLE a(3) = 3: [1, 0, 2; 0, 1, 0; 2, 0, 1] a(4) = 12: [3, 2, 1, 0; 2, 3, 2, 1; 1, 2, 3, 2; 0, 1, 2, 3] a(5) = 2: [0, 4, 1, 2, 3; 4, 0, 4, 1, 2; 1, 4, 0, 4, 1; 2, 1, 4, 0, 4; 3, 2, 1, 4, 0] MATHEMATICA Table[Min[Select[Table[Abs[Det[ToeplitzMatrix[Part[Permutations[Join[{0}, Range[n-1]]], i]]]], {i, n!}], Positive]], {n, 2, 9}] (* Corrected by Stefano Spezia, Nov 17 2022 *) CROSSREFS Cf. A356865. Cf. A358323 (minimal signed), A358324 (maximal signed), A358326 (minimal permanent), A358327 (maximal permanent). Sequence in context: A342787 A110121 A321710 * A288518 A069522 A170857 Adjacent sequences: A358322 A358323 A358324 * A358326 A358327 A358328 KEYWORD nonn,hard,more AUTHOR Stefano Spezia, Nov 09 2022 EXTENSIONS a(3), a(7), and a(10)-a(12) from Lucas A. Brown, Nov 16 2022 STATUS approved

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Last modified February 28 08:48 EST 2024. Contains 370394 sequences. (Running on oeis4.)