cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A092326 Permanent of the inverse of the n-th Hilbert matrix divided by the determinant of the inverse of the n-th Hilbert matrix.

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%I A092326 #6 Feb 16 2025 08:32:52
%S A092326 1,7,647,878769,18203480001,5850859031888599,29453515169174062608487,
%T A092326 2335404534493957255219087217249,
%U A092326 2927451248337363113001580852250754885313
%N A092326 Permanent of the inverse of the n-th Hilbert matrix divided by the determinant of the inverse of the n-th Hilbert matrix.
%H A092326 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Permanent.html">Permanent.</a>
%t A092326 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]/Det[i]]; Table[ f[n], {n, 1, 10}]
%Y A092326 Cf. A061914.
%K A092326 nonn
%O A092326 1,2
%A A092326 _Robert G. Wilson v_, Jan 30 2004