A203264 Permanent of the n-th principal submatrix of (A134446 in square format).

1, 4, 72, 2304, 172800, 18662400, 3657830400, 936404582400, 379243855872000, 189621927936000000, 137665519681536000000, 118943009004847104000000, 140709579652734124032000000, 193053543283551218171904000000

Offset: 1

Author

Clark Kimberling, Jan 14 2012

Keywords

• nonn

Crossrefs

Cf. A134446.

Programs

Mathematica

f[i_, j_] := Floor[(i + 1/2)] Floor[(j + 1)/2];
m[n_] := Table[f[i, j], {i, 1, n}, {j, 1, n}]
TableForm[m[8]] (* 8x8 principal submatrix *)
Flatten[Table[f[i, n + 1 - i],
  {n, 1, 12}, {i, 1, n}]]  (* A134446 as a square *)
Permanent[m_] :=
  With[{a = Array[x, Length[m]]},
   Coefficient[Times @@ (m.a), Times @@ a]];
Table[Permanent[m[n]], {n, 1, 14}]  (* A203264 *)