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.

A096732 a(n)=det(M_n) where M_n is the n X n matrix m(i,j)=i^j*j^i.

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%I A096732 #11 Apr 19 2024 09:19:31
%S A096732 1,12,4284,84720384,148993369113600,34155172566092379340800,
%T A096732 1406681240638328150516203644518400,
%U A096732 13722109275339434419337247034130459935742361600
%N A096732 a(n)=det(M_n) where M_n is the n X n matrix m(i,j)=i^j*j^i.
%F A096732 Conjecture: lim_{n->oo} a(n)^(1/n^2)/n = 2*exp(-3/2). - _Vaclav Kotesovec_, Apr 19 2024
%t A096732 Table[Det[Table[i^j j^i,{i,n},{j,n}]],{n,8}] (* _Harvey P. Dale_, Jun 26 2021 *)
%o A096732 (PARI) for(n=1,10,print1(matdet(matrix(n,n,i,j,i^j*j^i)),","))
%Y A096732 Cf. A071409, A071410, A169657.
%K A096732 easy,nonn
%O A096732 1,2
%A A096732 _Benoit Cloitre_, May 30 2002