OFFSET
1,2
COMMENTS
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.
A curious pattern (see link) shows that frequencies of most maximum spectral components are aligned along few convergent directions.
LINKS
Andres Cicuttin, Scatter plot of first 20000 elements
EXAMPLE
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.
MATHEMATICA
Table[Position[b=Abs@Fourier@Table[MoebiusMu[j], {j, 1, n}], Max[b]][[1, 1]], {n, 1, 120}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Andres Cicuttin, May 30 2016
STATUS
approved