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.

A344433 a(n) = Sum_{k=1..n} mu(k) * k^(n - k).

This page as a plain text file.
%I A344433 #14 May 20 2021 07:57:08
%S A344433 1,0,-2,-6,-17,-46,-132,-402,-1314,-4613,-17313,-68893,-288556,
%T A344433 -1269637,-5907157,-29489299,-160431708,-955478664,-6145884133,
%U A344433 -41584238971,-287650358748,-1984825313901,-13377544470631,-86142095523089,-512881404732949,-2634567148684612,-9205461936290915,17544751152746927
%N A344433 a(n) = Sum_{k=1..n} mu(k) * k^(n - k).
%H A344433 Seiichi Manyama, <a href="/A344433/b344433.txt">Table of n, a(n) for n = 1..598</a>
%F A344433 G.f.: Sum_{k>=1} mu(k) * x^k / (1 - k*x).
%t A344433 a[n_] := Sum[MoebiusMu[k] * k^(n-k), {k,1,n}]; Array[a, 30] (* _Amiram Eldar_, May 19 2021 *)
%o A344433 (PARI) a(n) = sum(k=1, n, moebius(k)*k^(n-k));
%o A344433 (PARI) my(N=40, x='x+O('x^N)); Vec(sum(k=1, N, moebius(k)*x^k/(1-k*x)))
%Y A344433 Cf. A026898, A292524, A344432.
%K A344433 sign
%O A344433 1,3
%A A344433 _Seiichi Manyama_, May 19 2021