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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

REFERENCES

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

LINKS

Richard P. Brent, Table of n, a(n) for n = 1..52 (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.

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: A007704 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 January 16 23:44 EST 2019. Contains 319206 sequences. (Running on oeis4.)