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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
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.
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
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