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 A273784 #23 Jun 16 2016 22:47:54 %S A273784 1,2,2,2,3,2,4,4,5,3,6,7,7,8,8,9,9,5,10,11,11,12,12,13,13,14,14,15,15, %T A273784 16,16,17,7,18,18,19,7,20,7,21,8,8,8,8,8,24,9,25,9,26,9,10,10,10,10, %U A273784 10,11,11,11,11,11,32,12,12,12,12,12,12,12,13,13,13,13,13,14,14,14 %N A273784 Frequency of the largest spectral component of the Moebius function of the first n numbers, for n>0. In case of a tie, use the smallest frequency. %C A273784 The Discrete Fourier transform is applied to the list of Moebius function of first n numbers, then it is selected the position of the largest absolute value of the components of the transformed list. If there are several identical maxima then it is taken the lowest position of them. %C A273784 A curious pattern (see link) shows that frequencies of most maximum spectral components are aligned along few convergent directions. %H A273784 Andres Cicuttin, <a href="/A273784/a273784.pdf">Scatter plot of first 20000 elements </a> %e A273784 For the first 60 numbers starting from 1, the absolute values of the discrete Fourier transform of the Moebius function of these numbers have a maximum at position 11, then a(60) = 11. %t A273784 Table[Position[b=Abs@Fourier@Table[MoebiusMu[j],{j,1,n}],Max[b]][[1,1]],{n,1,120}] %K A273784 nonn %O A273784 1,2 %A A273784 _Andres Cicuttin_, May 30 2016