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 A374389 a(n) is the minimal absolute value of the determinant of a nonsingular n X n symmetric Toeplitz matrix having 0 on the main diagonal and all the first n-1 primes off-diagonal. 5
 4, 24, 116, 192, 1079, 664, 720, 216 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS The offset is 2 because for n = 1 the unique symmetric Toeplitz matrix is singular. LINKS Table of n, a(n) for n=2..9. Wikipedia, Toeplitz Matrix. EXAMPLE a(5) = 192: [0, 5, 3, 2, 7] [5, 0, 5, 3, 2] [3, 5, 0, 5, 3] [2, 3, 5, 0, 5] [7, 2, 3, 5, 0] MATHEMATICA a[n_]:=Min[Select[Table[Abs[Det[ToeplitzMatrix[Join[{0}, Part[Permutations[Prime[Range[n-1]]], i]]]]], {i, (n-1)!}], Positive]]; Array[a, 8, 2] CROSSREFS Cf. A374386 (minimal), A374387 (maximal), A374388 (maximal absolute value). Cf. A374068 (minimal permanent), A374390 (maximal permanent). Sequence in context: A099582 A295093 A211142 * A272735 A295547 A270451 Adjacent sequences: A374386 A374387 A374388 * A374390 A374391 A374392 KEYWORD nonn,hard,more AUTHOR Stefano Spezia, Jul 07 2024 STATUS approved

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Last modified September 12 10:47 EDT 2024. Contains 375850 sequences. (Running on oeis4.)