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A086432 Maximum of |det(A)| where A is an n X n circulant (0,1) matrix over the integers. 3
1, 1, 2, 3, 4, 9, 32, 45, 95, 275, 1458, 2240, 6561, 19952, 131072, 214245, 755829, 2994003, 19531250, 37579575, 134534444, 577397064, 4353564672, 10757577600, 31495183733, 154611524732, 738139162166, 3124126889325, 11937232425585, 65455857159975 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Richard P. Brent, Table of n, a(n) for n = 1..53 (terms 1 to 37 from Hiroaki Yamanouchi)

Richard P. Brent and Adam B. Yedidia, Computation of maximal determinants of binary circulant matrices, arXiv:1801.00399 [math.CO], 2018.

R. P. Brent and A. Yedidia, Computation of maximal determinants of binary circulant matrices, Journal of Integer Sequences, 21 (2018), article 18.5.6.

Index entries for sequences related to maximal determinants

MATHEMATICA

Do[m=0; j=i-1; n=k=2^j; Do[l=IntegerDigits[k, 2]; m=Max[m, Det[NestList[RotateRight, l, j]]]; k++, {n}]; Print[m], {i, 30}] (* Hans Havermann, Dec 05 2012 *)

CROSSREFS

Cf. A086323.

Cf. A215723 (same for circulant (+1,-1) matrices), A215724 (same for (1,-1)-Toeplitz matrices).

Sequence in context: A328836 A059972 A245930 * A186928 A076018 A076017

Adjacent sequences:  A086429 A086430 A086431 * A086433 A086434 A086435

KEYWORD

nonn,hard

AUTHOR

Yuval Dekel (dekelyuval(AT)hotmail.com), Sep 08 2003

EXTENSIONS

More terms from Vladeta Jovovic, Sep 09 2003

a(19)-a(22) from Joerg Arndt, Aug 25 2012

a(23)-a(30) from Hans Havermann, Dec 05 2012

STATUS

approved

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Last modified May 27 12:01 EDT 2020. Contains 334657 sequences. (Running on oeis4.)