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.
%I A085031 #9 Apr 15 2025 22:19:40
%S A085031 1,1,1,1,2,1,1,1,2,2,2,2,2,3,2,2,4,1,2,2,1,1,4,1,3,3,2,2,1,1,2,3,2,2,
%T A085031 3,3,5,2,2,2,2,1,4,3,3,2,3,2,3,1,3,3,3,2,2,4,3,3,3,4,3,1,4,3,4,3,2,2,
%U A085031 2,5,1,3,4,3,3,2,2,4,3,3,2,3,7,2,3,1,4,2,3,1,2
%N A085031 Number of prime factors of cyclotomic(n,6), which is A019324(n), the value of the n-th cyclotomic polynomial evaluated at x=6.
%C A085031 The Mobius transform of this sequence yields A057955, number of prime factors of 6^n-1.
%D A085031 See references at A085021
%H A085031 Max Alekseyev, <a href="/A085031/b085031.txt">Table of n, a(n) for n = 1..430</a>
%t A085031 Table[Plus@@Transpose[FactorInteger[Cyclotomic[n, 6]]][[2]], {n, 1, 100}]
%Y A085031 omega(Phi(n,x)): A085021 (x=2), A085028 (x=3), A085029 (x=4), A085030 (x=5), this sequence (x=6), A085032 (x=7), A085033 (x=8), A085034 (x=9), A085035 (x=10).
%Y A085031 Cf. A019324, A057955, A059888, A274907.
%K A085031 nonn
%O A085031 1,5
%A A085031 _T. D. Noe_, Jun 19 2003