A301757 - OEIS

A301757

Positive determinant values assumed by performing all permutations of entries in the 3 X 3 matrix of A301372.

27, 147, 168, 171, 197, 293, 317, 331, 332, 408, 441, 469, 532, 547, 568, 643, 717, 819, 845, 901, 909, 971, 1017, 1028, 1080, 1104, 1182, 1201, 1297, 1388, 1392, 1400, 1423, 1591, 1606, 1624, 1633, 1640, 1846, 1891, 2038, 2042, 2089, 2114, 2275, 2278, 2288, 2369, 2384

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OFFSET

1,1

COMMENTS

A 3 X 3 matrix with given 9 matrix entries can produce A088021(3)=10080 distinct determinants if all positional permutations are performed. The current sequence provides the 5040 positive determinants of a conjectured optimal matrix minimizing its greatest matrix entry.

LINKS

Hugo Pfoertner, Table of n, a(n) for n = 1..5040

Hugo Pfoertner, Determinant values plotted as CDF.

EXAMPLE

a(1) = 27 because the smallest determinant that can be achieved from the matrix entries of A301372 is

det (( 0 1 89)

(87 99 97)

(54 61 20)) = 27,

a(5040) = 1039208:

det ((99 54 1)

(20 97 87)

(61 0 89)) = 1039208.