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 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