%I #13 Sep 17 2023 10:01:45
%S 1,1,44,43956,781361856,217042789550400,868170290030441798400,
%T 47267044397174696636039097600,33612120124091913005718848881499750400,
%U 302509080814318135934642422882028113666502246400,33612120087118580872578956587618207930922159448149975040000
%N 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.
%C For n > 1, the matrix M(n) is singular.
%e a(3) = 43956:
%e [ 1, 2, 3]
%e [ 11, 22, 33]
%e [111, 222, 333]
%t M[i_,j_]:=j(10^i-1)/9; Join[{1},Table[Permanent[Table[M[i,j],{i,n},{j,n}]],{n,10}]]
%o (PARI) a(n) = matpermanent(matrix(n,n,i,j,j*(10^i - 1)/9)); \\ _Michel Marcus_, Sep 17 2023
%Y Cf. A365644.
%K nonn
%O 0,3
%A _Stefano Spezia_, Sep 14 2023