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A111194
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Permanent of the inverse Hilbert matrix.
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1
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OFFSET
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0,3
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LINKS
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MATHEMATICA
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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 *)
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PROG
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(J) NB. www.jsoftware.com
H =: % @: >: @: (+/~) @: i. @ x:
perm=: +/ .*
perm@%.@H n
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CROSSREFS
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Cf. A005249 = determinant of inverse Hilbert matrix; and A092326 = (permanent/determinant) of inverse Hilbert matrix.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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