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A301757 Positive determinant values assumed by performing all permutations of entries in the 3 X 3 matrix of A301372. 4
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 (list; graph; refs; listen; history; text; internal format)
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: A066414 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

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Last modified August 7 19:57 EDT 2020. Contains 336279 sequences. (Running on oeis4.)