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 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