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.

A085028 Number of prime factors of cyclotomic(n,3), which is A019321(n), the value of the n-th cyclotomic polynomial evaluated at x=3.

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%I A085028 #13 May 22 2022 19:57:06
%S A085028 1,2,1,2,2,1,1,2,1,1,2,1,1,1,1,3,2,2,2,2,1,2,2,1,2,1,3,2,3,2,3,2,1,3,
%T A085028 2,1,2,2,4,1,3,3,2,2,3,1,4,3,5,2,2,2,3,2,3,2,3,3,2,1,2,2,1,2,3,2,3,2,
%U A085028 2,1,1,1,4,3,3,2,3,4,3,2,3,2,4,2,2,1,3,3,3,2,2,2,2,3,2,2,3,2,2,4
%N A085028 Number of prime factors of cyclotomic(n,3), which is A019321(n), the value of the n-th cyclotomic polynomial evaluated at x=3.
%C A085028 The Mobius transform of this sequence yields A057958, number of prime factors of 3^n-1.
%D A085028 See references at A085021
%H A085028 Max Alekseyev, <a href="/A085028/b085028.txt">Table of n, a(n) for n = 1..690</a>
%t A085028 Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 3]]][[2]], {n, 1, 100}]
%Y A085028 omega(Phi(n,x)): A085021 (x=2), this sequence (x=3), A085029 (x=4), A085030 (x=5), A085031 (x=6), A085032 (x=7), A085033 (x=8), A085034 (x=9), A085035 (x=10).
%Y A085028 Cf. A019321, A057958, A059885, A143663, A218356, A074477.
%K A085028 nonn
%O A085028 1,2
%A A085028 _T. D. Noe_, Jun 19 2003