|
|
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
|
|
|
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. A215723 (same for circulant (+1,-1) matrices), A215724 (same for (1,-1)-Toeplitz matrices).
|
|
KEYWORD
|
nonn,hard
|
|
AUTHOR
|
Yuval Dekel (dekelyuval(AT)hotmail.com), Sep 08 2003
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|