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.

A085030 Number of prime factors of cyclotomic(n,5), which is A019323(n), the value of the n-th cyclotomic polynomial evaluated at x=5.

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%I A085030 #7 May 06 2022 12:46:46
%S A085030 2,2,1,2,2,2,1,2,2,1,1,1,1,2,2,3,2,2,3,2,2,3,2,1,4,2,4,1,3,2,2,3,2,2,
%T A085030 4,2,3,3,2,2,2,4,2,2,3,2,1,1,1,2,3,3,3,4,5,1,1,2,2,2,3,3,3,4,3,2,5,4,
%U A085030 4,2,2,3,3,3,5,2,3,2,3,2,2,4,3,2,3,4,3,1,6,1,2,1,4,3,4,2,3,3,4,3
%N A085030 Number of prime factors of cyclotomic(n,5), which is A019323(n), the value of the n-th cyclotomic polynomial evaluated at x=5.
%C A085030 The Mobius transform of this sequence yields A057956, number of prime factors of 5^n-1.
%D A085030 See references at A085021
%H A085030 Max Alekseyev, <a href="/A085030/b085030.txt">Table of n, a(n) for n = 1..502</a>
%t A085030 Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 5]]][[2]], {n, 1, 100}]
%Y A085030 omega(Phi(n,x)): A085021 (x=2), A085028 (x=3), A085029 (x=4), this sequence (x=5), A085031 (x=6), A085032 (x=7), A085033 (x=8), A085034 (x=9), A085035 (x=10).
%Y A085030 Cf. A019323, A057956, A059887, A074479.
%K A085030 nonn
%O A085030 1,1
%A A085030 _T. D. Noe_, Jun 19 2003