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

Author

Hugo Pfoertner, Mar 26 2018

Keywords

• nonn
• fini
• full

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.

Examples

			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.
		

Links

• Hugo Pfoertner, Table of n, a(n) for n = 1..5040
• Hugo Pfoertner, Determinant values plotted as CDF.

Crossrefs

Cf. A088021, A301372.