A092326 -id:A092326 - cp's OEIS frontend

A111194 Permanent of the inverse Hilbert matrix.

1, 1, 84, 1397520, 5314794912000, 4855173934730716800000, 1090093558153665322315192780800000, 60907190511553979457004412118419080463155200000

Offset: 0

Roger Hui, Oct 22 2005

nonn

Cf. A005249 = determinant of inverse Hilbert matrix; and A092326 = (permanent/determinant) of inverse Hilbert matrix.

NB. www.jsoftware.com
H =: % @: >: @: (+/~) @: i. @ x:
perm=: +/ .*
perm@%.@H n

Permanent[m_List] := With[{v = Array[x, Length[m]]}, Coefficient[Times @@ (m . v), Times @@ v]]; f[n_] := Block[{i = Inverse[Table[1/(i + j - 1), {i, n}, {j, n}]]}, Permanent[i]]; Table[ f[n], {n, 7}] (* Robert G. Wilson v, Oct 24 2005 *)

A111237 LCM of the absolute values of the inverse Hilbert matrix.

Original entry on oeis.org

1, 12, 2880, 226800, 101606400, 6985440000, 35961045120000, 1431699108840000, 692306057963520000, 181128033944995737600, 344143264495491901440000, 6651046563131624734080000, 22028266217091941119272960000

Offset: 1

Roger Hui, Oct 28 2005

nonn

Cf. A005249 (determinant), A111194 (permanent), A092326 (permanent/determinant).

NB. http://www.jsoftware.com
H=: % @: >: @: (+/~) @: i. @: x:
*./ @: | @:, @: %. @: H n

cp's OEIS Frontend

A111194 Permanent of the inverse Hilbert matrix.

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