A089478 Triangle T(n,k) read by rows, where T(n,k) = number of times the determinant of a real n X n (0,1)-matrix takes the value k, for n >= 0, 0 <= k <= A003432(n).

0, 1, 1, 1, 10, 3, 338, 84, 3, 42976, 10020, 1200, 60, 21040112, 4851360, 1213920, 144720, 43560, 3600, 39882864736, 9240051240, 3868663680, 768723480, 418703040, 63612360, 46569600, 6438600, 5014800, 529200, 292604283435872

Offset

0,5

Comments

The first 4 rows were provided by Wouter Meeussen.

Links

Table of n, a(n) for n=0..29.

Example

a(4) = T(2,1) = 3 because there are 3 different (0,1)-matrices with determinant=1:
  ((1,0),(0,1)), ((1,1),(0,1)), ((1,0),(1,1)).
Triangle T(n,k) begins:
         0,       1;
         1,       1;
        10,       3;
       338,      84,       3;
     42976,   10020,    1200,     60;
  21040112, 4851360, 1213920, 144720, 43560, 3600;
  ...

Prog

See link in A086264.

Crossrefs

Cf. T(n,0) = A046747(n), T(n,1) = A086264(n), T(n,A003432(n)) = A051752(n).

The n-th row of the table contains A089472(n) nonzero entries.

Cf. A089479.

Sequence in context: A165790 A077194 A038305 * A028967 A097530 A063565

Adjacent sequences: A089475 A089476 A089477 * A089479 A089480 A089481

Keyword

nonn,hard,tabf

Author

Hugo Pfoertner, Nov 04 2003

Extensions

Edited by Alois P. Heinz, Dec 20 2023

Status

approved