A322576 Least nonnegative integer that cannot be expressed as the determinant of an n X n matrix whose entries are a permutation of the multiset {1^n, ..., n^n}.

0, 1, 9, 139, 2111, 40021, 942937, 27003797

Offset

1,3

Links

Table of n, a(n) for n=1..8.

Example

a(1) = 0 because det[1] = 1.
a(2) = 1 because det[1,1; 2,2] = 0 and det[2,1; 1,2] = 3 are the only determinant values >= 0 that can be made by permuting the matrix entries {1,1, 2,2}.
a(3) = 9, because it is the first missing value in the list of A309799(3) = 13 determinant values corresponding to {1,1,1, 2,2,2, 3,3,3}: 0, 1, 2, 3, 4, 5, 6, 7, 8, 12, 13, 15, 18.

Crossrefs

Cf. A088216, A301371, A309258, A309799, A327281.

Sequence in context: A367426 A296394 A367246 * A350925 A243673 A364941

Adjacent sequences: A322573 A322574 A322575 * A322577 A322578 A322579

Keyword

nonn,more,hard

Author

Hugo Pfoertner, Aug 29 2019

Status

approved