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.

A085034 Number of prime factors of cyclotomic(n,9), which is A019327(n), the value of the n-th cyclotomic polynomial evaluated at x=9.

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%I A085034 #12 Jul 25 2023 19:34:48
%S A085034 3,2,2,2,3,1,2,3,3,2,4,1,2,2,3,2,5,1,4,1,4,2,3,3,4,2,5,2,6,1,5,2,3,2,
%T A085034 3,1,5,2,8,2,5,2,3,3,5,2,7,2,7,4,5,2,5,1,5,3,6,2,4,3,4,3,5,2,4,1,5,3,
%U A085034 7,3,6,2,6,3,7,4,4,2
%N A085034 Number of prime factors of cyclotomic(n,9), which is A019327(n), the value of the n-th cyclotomic polynomial evaluated at x=9.
%C A085034 The Mobius transform of this sequence yields A057952, number of prime factors of 9^n-1.
%D A085034 See references at A085021
%H A085034 Max Alekseyev, <a href="/A085034/b085034.txt">Table of n, a(n) for n = 1..690</a>
%t A085034 Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 9]]][[2]], {n, 1, 100}]
%Y A085034 omega(Phi(n,x)): A085021 (x=2), A085028 (x=3), A085029 (x=4), A085030 (x=5), A085031 (x=6), A085032 (x=7), A085033 (x=8), this sequence (x=9), A085035 (x=10).
%Y A085034 Cf. A019327, A057952, A059891, A274909.
%K A085034 nonn
%O A085034 1,1
%A A085034 _T. D. Noe_, Jun 19 2003