Permanent of the nth n-th principal submatrix of A204553.
Permanent of the nth n-th principal submatrix of A204553.
_Clark Kimberling (ck6(AT)evansville.edu), _, Jan 16 2012
proposed
approved
editing
proposed
allocated for Clark KimberlingPermanent of the nth principal submatrix of A204553.
1, 2, 13, 150, 2327, 49126, 1479844, 60008400, 2953395420, 175858256016, 12912316144776, 1147787177552928, 117448965142375680, 13797269352034003584, 1880027396323616236032
1,2
f[i_, j_] :=
Floor[(2 i + 2 j + 2)/4] - Floor[(i + j + 1)/4];
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, 14}, {i, 1, n}]] (* A204553 *)
Permanent[m_] :=
With[{a = Array[x, Length[m]]},
Coefficient[Times @@ (m.a), Times @@ a]];
Table[Permanent[m[n]], {n, 1, 15}] (* A204554 *)
allocated
nonn
Clark Kimberling (ck6(AT)evansville.edu), Jan 16 2012
approved
editing
allocated for Clark Kimberling
allocated
approved