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A088215 (1/36)*number of ways to express n as the determinant of a 3 X 3 matrix with elements 1..9. 8
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 (list; graph; refs; listen; history; text; internal format)
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: A116234 A065669 A126766 * A033396 A196110 A196107

Adjacent sequences:  A088212 A088213 A088214 * A088216 A088217 A088218

KEYWORD

fini,full,nonn

AUTHOR

Hugo Pfoertner, Sep 23 2003

STATUS

approved

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Last modified April 19 18:37 EDT 2019. Contains 322290 sequences. (Running on oeis4.)