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.

A085035 Number of prime factors of cyclotomic(n,10), which is A019328(n), the value of the n-th cyclotomic polynomial evaluated at x=10.

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%I A085035 #19 May 06 2022 13:10:10
%S A085035 2,1,2,1,2,2,2,2,2,1,2,1,3,1,2,2,2,2,1,2,3,4,1,1,3,2,3,3,5,3,3,5,2,3,
%T A085035 3,1,3,1,1,2,4,4,4,3,2,4,2,1,2,3,4,2,4,2,4,2,3,2,2,3,7,1,5,4,2,2,3,3,
%U A085035 3,2,2,3,3,3,3,2,4,5,6,2,6,2,3,2,3,3,3
%N A085035 Number of prime factors of cyclotomic(n,10), which is A019328(n), the value of the n-th cyclotomic polynomial evaluated at x=10.
%C A085035 The Mobius transform of this sequence yields A057951, number of prime factors of 10^n-1.
%D A085035 See references at A085021.
%H A085035 Max Alekseyev, <a href="/A085035/b085035.txt">Table of n, a(n) for n = 1..352</a> (first 322 terms from Ray Chandler)
%H A085035 Makoto Kamada, <a href="https://stdkmd.net/nrr/repunit/phin10.htm">Factorizations of Phi_n(10)</a>
%F A085035 a(n) = A001222(A019328(n)). - _Ray Chandler_, May 10 2017
%t A085035 Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 10]]][[2]], {n, 1, 100}]
%Y A085035 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), A085034 (x=9), this sequence (x=10).
%Y A085035 Cf. A001222, A003060, A005422, A007138, A019328, A057951, A070528, A059892.
%K A085035 nonn
%O A085035 1,1
%A A085035 _T. D. Noe_, Jun 19 2003