login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A097400 Number of different values that can be assumed by the determinant of a 3 X 3 matrix whose elements are all permutations of the consecutive integers in the range (n-4,n+4). 1
167, 207, 341, 489, 635, 777, 913, 1055, 1163, 1325, 1389, 1573, 1643, 1819, 1867, 2039, 2073, 2229, 2295, 2463, 2471, 2649, 2625, 2843, 2787, 2995, 2917, 3171, 3099, 3309, 3241, 3397, 3379, 3557, 3467, 3707, 3631, 3807, 3731, 3919, 3869, 3999, 3947 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

a(j)=5761 for all j>=167.

LINKS

Table of n, a(n) for n=0..42.

EXAMPLE

a(0)=167 because the only determinants not achievable by permuting the positions of the matrix elements -4...+4 are +-81,+-83 and +-85, i.e. a(0)=2*A097399(0)-6+1=167 (+1 for det=0).

a(1)=207 because all values -102...+102 and +-104 can be represented as determinant of a matrix whose elements are a permutation of the 9 numbers -3...5.

CROSSREFS

Cf. A097399 corresponding maximum determinant, a(5)=A088217(3).

Sequence in context: A273548 A273549 A299379 * A142664 A247941 A142329

Adjacent sequences:  A097397 A097398 A097399 * A097401 A097402 A097403

KEYWORD

nonn

AUTHOR

Hugo Pfoertner, Aug 19 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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 27 21:45 EST 2020. Contains 331297 sequences. (Running on oeis4.)