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%I #9 Mar 27 2018 17:18:47
%S 27,147,168,171,197,293,317,331,332,408,441,469,532,547,568,643,717,
%T 819,845,901,909,971,1017,1028,1080,1104,1182,1201,1297,1388,1392,
%U 1400,1423,1591,1606,1624,1633,1640,1846,1891,2038,2042,2089,2114,2275,2278,2288,2369,2384
%N Positive determinant values assumed by performing all permutations of entries in the 3 X 3 matrix of A301372.
%C 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.
%H Hugo Pfoertner, <a href="/A301757/b301757.txt">Table of n, a(n) for n = 1..5040</a>
%H Hugo Pfoertner, <a href="/A301757/a301757.pdf">Determinant values plotted as CDF</a>.
%e a(1) = 27 because the smallest determinant that can be achieved from the matrix entries of A301372 is
%e det (( 0 1 89)
%e (87 99 97)
%e (54 61 20)) = 27,
%e .
%e a(5040) = 1039208:
%e det ((99 54 1)
%e (20 97 87)
%e (61 0 89)) = 1039208.
%Y Cf. A088021, A301372.
%K nonn,fini,full
%O 1,1
%A _Hugo Pfoertner_, Mar 26 2018
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