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(1/36)*number of ways to express n as the determinant of a 3 X 3 matrix with elements 1..9.
9

%I #11 Jul 10 2015 23:05:11

%S 76,32,18,30,14,47,30,25,10,41,20,42,32,25,16,36,14,31,39,28,35,39,20,

%T 22,18,33,19,45,12,21,37,26,15,41,25,37,29,27,18,34,22,24,23,24,17,48,

%U 16,16,18,15,25,35,16,21,36,43,11,30,5,18,31,17,13,28,11,42,35,24,13,35

%N (1/36)*number of ways to express n as the determinant of a 3 X 3 matrix with elements 1..9.

%C 0 can be expressed in 36*76=2716 ways as the determinant of a 3 X 3 matrix which has elements 1..9. One such way is e.g. det ((1 2 3)(4 5 6)(7 8 9))=0. All numbers between -323 and +323 can be expressed by such a determinant. The first number not expressible is given by A088216.

%H Hugo Pfoertner, <a href="/A088215/b088215.txt">Table of n, a(n) for n = 0..412</a> [Gives all terms]

%H Hugo Pfoertner, <a href="http://www.randomwalk.de/sequences/a088215.pdf">Possible determinants of 3 X 3 matrix with elements 1..9.</a>

%Y Cf. A085000, A088214, A088216, A088217.

%Y Cf. A136608 [analogous sequence for 4 X 4 matrices].

%K fini,full,nonn

%O 0,1

%A _Hugo Pfoertner_, Sep 23 2003