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

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.

Crossrefs

Cf. A088021, A301372.

Sequence in context: A344315 A042422 A180578 * A192328 A129028 A133548

Adjacent sequences: A301754 A301755 A301756 * A301758 A301759 A301760

Keyword

nonn,fini,full

Author

Hugo Pfoertner, Mar 26 2018

Status

approved