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 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