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.
%I A334659 #15 Apr 04 2023 12:35:08 %S A334659 1,-8,-27,0,-125,216,-343,0,0,1000,-1331,0,-2197,2744,3375,0,-4913,0, %T A334659 -6859,0,9261,10648,-12167,0,0,17576,0,0,-24389,-27000,-29791,0,35937, %U A334659 39304,42875,0,-50653,54872,59319,0,-68921,-74088,-79507,0,0,97336,-103823,0,0,0,132651,0,-148877 %N A334659 Dirichlet g.f.: 1 / zeta(s-3). %C A334659 Dirichlet inverse of A000578. %C A334659 Moebius transform of A063453. %C A334659 Inverse Moebius transform of A053825. %H A334659 Amiram Eldar, <a href="/A334659/b334659.txt">Table of n, a(n) for n = 1..10000</a> %F A334659 G.f. A(x) satisfies: A(x) = x - 2^3 * A(x^2) - 3^3 * A(x^3) - 4^3 * A(x^4) - ... %F A334659 a(1) = 1; a(n) = -n^3 * Sum_{d|n, d < n} a(d) / d^3. %F A334659 a(n) = mu(n) * n^3. %F A334659 Multiplicative with a(p^e) = -p^3 if e = 1 and 0 otherwise. - _Amiram Eldar_, Dec 05 2022 %t A334659 Table[MoebiusMu[n] n^3, {n, 53}] %Y A334659 Cf. A008683, A055615, A334657, A334660. %Y A334659 Cf. A000578, A053825, A063453. %K A334659 sign,mult %O A334659 1,2 %A A334659 _Ilya Gutkovskiy_, May 07 2020