login
This site is supported by donations to The OEIS Foundation.

 

Logo

"Email this user" was broken Aug 14 to 9am Aug 16. If you sent someone a message in this period, please send it again.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A099834 Maximum number of different determinants that can be produced by permuting the elements of a 3 X 3 integer matrix with nonnegative entries <= n. 3
5, 15, 53, 109, 209, 351, 573, 811, 1193, 1509, 1971, 2501, 3183, 3769, 4511, 5025, 5641, 6165, 6600, 6964, 7354, 7696, 7960, 8110, 8404, 8606, 8704, 8846, 8962, 9125, 9210, 9284, 9362, 9420 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For large values of n it is always possible to find a matrix that produces A088021(3)=10080 different determinants. Examples are given in the link. Currently (October 2004) the smallest known n for which a(n)=10080 is 100. The elements of the corresponding matrix are given in A098072.

LINKS

Table of n, a(n) for n=1..34.

Hugo Pfoertner, List of 3 X 3 integer matrices that give 10080 different determinants.

Hugo Pfoertner, Elements of 3 X 3 matrices with maximal number of different determinants.

EXAMPLE

a(10)=1509: A corresponding set of matrix elements is {10,9,9,8,7,5,2,1,0}.

CROSSREFS

Cf. A033431, A088021, A088217, A089472, A099815.

Cf. A099815 largest determinant that can be produced by the optimal set of matrix elements.

Sequence in context: A149578 A149579 A149580 * A034537 A149581 A149582

Adjacent sequences:  A099831 A099832 A099833 * A099835 A099836 A099837

KEYWORD

nonn,hard

AUTHOR

Hugo Pfoertner, Oct 29 2004

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified August 20 13:35 EDT 2017. Contains 290835 sequences.