A088215 (1/36)*number of ways to express n as the determinant of a 3 X 3 matrix with elements 1..9.

76, 32, 18, 30, 14, 47, 30, 25, 10, 41, 20, 42, 32, 25, 16, 36, 14, 31, 39, 28, 35, 39, 20, 22, 18, 33, 19, 45, 12, 21, 37, 26, 15, 41, 25, 37, 29, 27, 18, 34, 22, 24, 23, 24, 17, 48, 16, 16, 18, 15, 25, 35, 16, 21, 36, 43, 11, 30, 5, 18, 31, 17, 13, 28, 11, 42, 35, 24, 13, 35

Offset: 0

Author

Hugo Pfoertner, Sep 23 2003

Keywords

• fini
• full
• nonn

Comments

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.

Links

• Hugo Pfoertner, Table of n, a(n) for n = 0..412 [Gives all terms]
• Hugo Pfoertner, Possible determinants of 3 X 3 matrix with elements 1..9.

Crossrefs

Cf. A085000, A088214, A088216, A088217.

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