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.

A067019 Odd numbers with an odd number of prime factors (counted with multiplicity).

This page as a plain text file.
%I A067019 #26 Feb 15 2025 18:21:21
%S A067019 3,5,7,11,13,17,19,23,27,29,31,37,41,43,45,47,53,59,61,63,67,71,73,75,
%T A067019 79,83,89,97,99,101,103,105,107,109,113,117,125,127,131,137,139,147,
%U A067019 149,151,153,157,163,165,167,171,173,175,179,181,191,193,195,197,199
%N A067019 Odd numbers with an odd number of prime factors (counted with multiplicity).
%C A067019 Subsequence of odd terms of A026424. - _Michel Marcus_, Jul 04 2015
%C A067019 The sequence a(1)=0, for n>1 a(n) is smallest number such that for all s,t,m<n a(n) != a(s)*a(t)+a(m) is the same as this one from a(3). - _Anders Hellström_, Jul 08 2015
%H A067019 Harry J. Smith, <a href="/A067019/b067019.txt">Table of n, a(n) for n = 1..1000</a>
%e A067019 a(9) = 27, which is odd with an odd number of prime factors, i.e., 3.
%t A067019 Select[Range[1,301,2],OddQ[PrimeOmega[#]]&] (* _Harvey P. Dale_, Feb 15 2025 *)
%o A067019 (PARI) isok(k) = { k%2 == 1 && bigomega(k)%2 == 1 } \\ _Harry J. Smith_, Apr 25 2010
%Y A067019 Intersection of A005408 and A026424.
%Y A067019 Setwise difference A005408 \ A046337.
%Y A067019 Cf. A353558 (characteristic function).
%Y A067019 Positions of the terms of the form 4u+2 (A016825) in A358669 (and in A358765).
%K A067019 nonn
%O A067019 1,1
%A A067019 _Shyam Sunder Gupta_, Feb 16 2002