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.

A076891 a(n) = [n/1][n/2][n/3] ...[n/n] / n^(tau(n)/2).

This page as a plain text file.
%I A076891 #10 Apr 08 2024 05:05:04
%S A076891 1,1,1,1,2,1,6,2,8,6,60,2,288,48,84,60,3840,48,15552,144,4800,10080,
%T A076891 221760,96,331776,138240,224640,25920,20321280,4032,108864000,345600,
%U A076891 17694720,36495360,51701760,40320,11287019520,627056640,992839680
%N A076891 a(n) = [n/1][n/2][n/3] ...[n/n] / n^(tau(n)/2).
%F A076891 a(n) = A010786(n)/n^(A000005(n)/2) = A010786(n)/A007955(n).
%t A076891 a[n_] := Product[Floor[n/k], {k, 1, n}] / n^(DivisorSigma[0, n]/2); Array[a, 40] (* _Amiram Eldar_, Apr 08 2024 *)
%o A076891 (PARI) a(n) = prod(k = 1, n, n\k) / n^(numdiv(n)/2); \\ _Amiram Eldar_, Apr 08 2024
%Y A076891 Cf. A000005 (tau), A007955, A010786.
%K A076891 nonn
%O A076891 1,5
%A A076891 _Benoit Cloitre_, Nov 26 2002