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.

A085033 Number of prime factors of cyclotomic(n,8), which is A019326(n), the value of the n-th cyclotomic polynomial evaluated at x=8.

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%I A085033 #15 Feb 25 2023 17:06:09
%S A085033 1,2,1,2,2,2,3,2,1,2,3,2,3,2,2,3,4,2,3,4,2,3,3,2,4,2,3,4,5,1,2,3,3,4,
%T A085033 5,2,5,3,4,2,4,1,4,4,3,3,5,2,3,3,2,8,7,4,4,3,2,3,5,3,4,3,2,3,2,2,5,7,
%U A085033 4,5,6,2,6,5,4,6,3,1,7,3,4,5,4,2
%N A085033 Number of prime factors of cyclotomic(n,8), which is A019326(n), the value of the n-th cyclotomic polynomial evaluated at x=8.
%C A085033 The Mobius transform of this sequence yields A057953, number of prime factors of 8^n-1.
%D A085033 See references at A085021
%H A085033 Max Alekseyev, <a href="/A085033/b085033.txt">Table of n, a(n) for n = 1..500</a>
%t A085033 Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 8]]][[2]], {n, 1, 100}]
%Y A085033 omega(Phi(n,x)): A085021 (x=2), A085028 (x=3), A085029 (x=4), A085030 (x=5), A085031 (x=6), A085032 (x=7), this sequence (x=8), A085034 (x=9), A085035 (x=10).
%Y A085033 Cf. A019326, A057953, A059890, A274908.
%K A085033 nonn
%O A085033 1,2
%A A085033 _T. D. Noe_, Jun 19 2003