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 A085000 Maximal determinant of an n X n matrix using the integers 1 to n^2. 22
 1, 10, 412, 40800, 6839492, 1865999570, 762150368499 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Bounds for the next terms and the corresponding matrices are given by O. Gasper, H. Pfoertner and M. Sigg: 440960274696935<=a(8)<441077015225642, 346254605664223620<=a(9)<346335386150480625, 356944784622927045792<=a(10)<357017114947987625629. a(n)dMax, dMax=d; mMax=m]; p=NextPermutation[p], {k, n2!}]; {dMax, mMax} (* T. D. Noe *) PROG (PARI) vectomat(v)=my(n=sqrtint(#v)); matrix(n, n, i, j, v[n*(i-1)+j]) a(n)=my(m, t, M); n*=n; for(k=0, (n-1)!-1, t=matdet(M=vectomat(numtoperm(n, k))); if(abs(t)>m, m=abs(t); print(t" "M))); m \\ Charles R Greathouse IV, Sep 13 2013 CROSSREFS Cf. A088214, A088215, A088216, A088217, A088237, A180087 [upper bounds for a(n)], A180128, A221976, A301371, A301532, A301533, A309985, A325900. Sequence in context: A041767 A130557 A231052 * A248553 A126154 A199835 Adjacent sequences:  A084997 A084998 A084999 * A085001 A085002 A085003 KEYWORD nonn,nice,more,hard AUTHOR Robert G. Wilson v, Jun 16 2003 EXTENSIONS a(4) from Marsac Laurent (jko(AT)rox0r.net), Sep 15 2003 a(6) from Hugo Pfoertner, Sep 23 2003 Entry edited by N. J. A. Sloane, Nov 22 2006, to remove some erroneous entries. Further edits Nov 25 2006. a(7) from Hugo Pfoertner, Jan 22 2008 Comment updated and reference added by Hugo Pfoertner, Aug 15 2010 STATUS approved

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Last modified August 14 08:08 EDT 2020. Contains 336480 sequences. (Running on oeis4.)