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.

A085032 Number of prime factors of cyclotomic(n,7), which is A019325(n), the value of the n-th cyclotomic polynomial evaluated at x=7.

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%I A085032 #9 Sep 11 2022 12:49:44
%S A085032 2,3,2,3,1,1,2,2,3,2,2,2,1,2,2,3,2,1,2,3,1,2,3,3,2,2,5,1,3,1,3,3,3,1,
%T A085032 2,1,3,2,3,2,3,2,2,3,2,1,2,1,4,1,4,2,3,1,1,4,4,1,4,2,4,3,1,4,5,2,4,3,
%U A085032 3,4,2,3,5,2,2,1,3,3,2,3,5,4,7,1
%N A085032 Number of prime factors of cyclotomic(n,7), which is A019325(n), the value of the n-th cyclotomic polynomial evaluated at x=7.
%C A085032 The Mobius transform of this sequence yields A057954, number of prime factors of 7^n-1.
%D A085032 See references at A085021
%H A085032 Max Alekseyev, <a href="/A085032/b085032.txt">Table of n, a(n) for n = 1..388</a>
%t A085032 Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 7]]][[2]], {n, 1, 100}]
%Y A085032 omega(Phi(n,x)): A085021 (x=2), A085028 (x=3), A085029 (x=4), A085030 (x=5), A085031 (x=6), this sequence (x=7), A085033 (x=8), A085034 (x=9), A085035 (x=10).
%Y A085032 Cf. A019325, A057954, A059889, A074249.
%K A085032 nonn
%O A085032 1,1
%A A085032 _T. D. Noe_, Jun 19 2003