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

0,1

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].

Sequence in context: A065669 A367605 A126766 * A033396 A196110 A196107

Adjacent sequences: A088212 A088213 A088214 * A088216 A088217 A088218

Keyword

fini,full,nonn

Author

Hugo Pfoertner, Sep 23 2003

Status

approved