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A215724 Maximum absolute value of determinant of n X n (1,-1)-Toeplitz matrix. 3
1, 2, 4, 16, 48, 160, 576, 2560, 12288, 73728, 327680, 2097152, 14929920, 68853760 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

Warren D. Smith, Posting to the Math Fun Mailing List, August 18, 2012.

LINKS

Table of n, a(n) for n=1..14.

Wikipedia, Toeplitz Matrix

Index entries for sequences related to maximal determinants

MAPLE

a:=proc(n)

local T, b, U, M, d, r;

T:= combinat:-cartprod([seq({-1, 1}, j = 1..2*n-1)]);

b:= 0;

while not T[finished] do

   U := T[nextvalue]();

   M := LinearAlgebra:-ToeplitzMatrix(U, n);

   d:= abs(LinearAlgebra:-Determinant(M)):

   if d > b then b := d; end if;

end do;

return b;

end proc:

CROSSREFS

Cf. A086432 (same for circulant (0,1) matrices), A215724 (same for circulant (+1,-1) matrices).

Sequence in context: A103435 A119000 A034917 * A003433 A153951 A248748

Adjacent sequences:  A215721 A215722 A215723 * A215725 A215726 A215727

KEYWORD

nonn,hard,more

AUTHOR

W. Edwin Clark, Aug 22 2012

STATUS

approved

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Last modified January 16 03:17 EST 2019. Contains 319184 sequences. (Running on oeis4.)