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 A374387 a(n) is the maximal determinant of an n X n symmetric Toeplitz matrix having 0 on the main diagonal and all the first n-1 primes off-diagonal. 5
 1, 0, -4, 36, 129, 3340, 2287607, 162104000, 16943055268, 4059346088384, 474967482901952, 221630954408019520 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..11. Wikipedia, Toeplitz Matrix. EXAMPLE a(5) = 3340: [0, 5, 7, 3, 2] [5, 0, 5, 7, 3] [7, 5, 0, 5, 7] [3, 7, 5, 0, 5] [2, 3, 7, 5, 0] MATHEMATICA a[n_]:=Max[Table[Det[ToeplitzMatrix[Join[{0}, Part[Permutations[Prime[Range[n-1]]], i]]]], {i, (n-1)!}]]; Join[{1}, Array[a, 10]] CROSSREFS Cf. A071079, A374341. Cf. A374386 (minimal), A374388 (maximal absolute value), A374389 (minimal nonzero absolute value). Cf. A374068 (minimal permanent), A374390 (maximal permanent). Sequence in context: A045490 A318150 A275133 * A060783 A296948 A125756 Adjacent sequences: A374384 A374385 A374386 * A374388 A374389 A374390 KEYWORD sign,hard,more AUTHOR Stefano Spezia, Jul 07 2024 EXTENSIONS a(11) from Giorgos Kalogeropoulos, Jul 10 2024 STATUS approved

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Last modified August 14 02:14 EDT 2024. Contains 375146 sequences. (Running on oeis4.)