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A327269
Smallest modulus of any integer n X n determinant with top row 1,2,...,n and rows nonzero and pairwise orthogonal
3
1, 5, 42, 90, 990, 5733, 6720, 39168
OFFSET
1,2
COMMENTS
Also a(n) = A327267(p_1...p_n), with p_j = j-th prime, since p_1...p_n is the Heinz code for the multiset {1,2,3,...,n}. For more details see Pinner and Smyth link.
EXAMPLE
a(3)=42 since det([1,2,3],[1,-2,1],[4,1,-2]) = 42 and is the smallest positive determinant with top row [1,2,3] and all rows orthogonal.
CROSSREFS
Subsequence of A327267-- see comments; A327271 is similar, but determinant's top row is n 1's; A327272 is similar, but determinant's top row is 1,2,2^2,...,2^n.
Sequence in context: A216610 A025173 A222474 * A266021 A062021 A241780
KEYWORD
nonn,more
AUTHOR
STATUS
approved