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).

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

Offset: 0

Author

Hugo Pfoertner, Aug 19 2004

Keywords

• nonn

Comments

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

Examples

			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).