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.

A060239 a(n) = determinant(P*Q)/n! where P, Q are n X n matrices with P[i,j]=lcm(i,j), Q[i,j]=gcd(i,j).

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%I A060239 #9 Mar 14 2020 11:27:23
%S A060239 1,-1,4,-8,128,512,-18432,73728,-884736,-14155776,1415577600,
%T A060239 11324620800,-1630745395200,-58706834227200,-3757237390540800,
%U A060239 30057899124326400,-7694822175827558400,-92337866109930700800
%N A060239 a(n) = determinant(P*Q)/n! where P, Q are n X n matrices with P[i,j]=lcm(i,j), Q[i,j]=gcd(i,j).
%H A060239 Enrique Pérez Herrero, <a href="/A060239/b060239.txt">Table of n, a(n) for n = 1..100</a>
%F A060239 a(n) = A001088(n)*A060238(n)/n!.
%o A060239 (Sage)
%o A060239 def A060239(n):
%o A060239     P = Matrix(lambda i,j: lcm(i+1,j+1), nrows=n)
%o A060239     Q = Matrix(lambda i,j: gcd(i+1,j+1), nrows=n)
%o A060239     return (P*Q).det()/factorial(n) # _D. S. McNeil_, Jan 16 2011
%Y A060239 Cf. A001088, A060238.
%K A060239 sign
%O A060239 1,3
%A A060239 MCKAY john (mckay(AT)cs.concordia.ca), Mar 21 2001