cp's OEIS Frontend

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).

%I A097400 #2 Mar 31 2012 10:29:05
%S A097400 167,207,341,489,635,777,913,1055,1163,1325,1389,1573,1643,1819,1867,
%T A097400 2039,2073,2229,2295,2463,2471,2649,2625,2843,2787,2995,2917,3171,
%U A097400 3099,3309,3241,3397,3379,3557,3467,3707,3631,3807,3731,3919,3869,3999,3947
%N 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).
%C A097400 a(j)=5761 for all j>=167.
%e A097400 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).
%e A097400 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.
%Y A097400 Cf. A097399 corresponding maximum determinant, a(5)=A088217(3).
%K A097400 nonn
%O A097400 0,1
%A A097400 _Hugo Pfoertner_, Aug 19 2004