A365646 a(n) is the permanent of the n X n matrix M(n) whose generic M[i, j] = j*(10^i - 1)/9 with 1 <= i, j <= n.

1, 1, 44, 43956, 781361856, 217042789550400, 868170290030441798400, 47267044397174696636039097600, 33612120124091913005718848881499750400, 302509080814318135934642422882028113666502246400, 33612120087118580872578956587618207930922159448149975040000

Offset: 0

Author

Stefano Spezia, Sep 14 2023

Keywords

• nonn

Comments

For n > 1, the matrix M(n) is singular.

Examples

			a(3) = 43956:
  [  1,   2,   3]
  [ 11,  22,  33]
  [111, 222, 333]
		

Crossrefs

Cf. A365644.

Programs

Mathematica

M[i_,j_]:=j(10^i-1)/9; Join[{1},Table[Permanent[Table[M[i,j],{i,n},{j,n}]],{n,10}]]

PARI

a(n) = matpermanent(matrix(n,n,i,j,j*(10^i - 1)/9)); \\ Michel Marcus, Sep 17 2023