Search: id:A091304
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%I A091304
%S A091304 1,1,1,1,2,1,1,2,1,1,2,1,2,3,1,1,2,2,1,2,1,1,3,1,2,2,1,2,2,1,1,3,2,1,2,
%T A091304 1,1,3,2,1,4,1,2,2,1,2,2,2,1,3,1,1,3,1,1,2,1,2,3,2,2,2,3,1,2,1,2,4,1,1,
%U A091304 2,2,2,3,1,1,3,2,1,2,2,1,3,1,2,3,1,3,2,1,1,1,2,2,4,1,1,3,1,1,2,2,2,3,2
%N A091304 Omega(2n+1) (prime factors counted with multiplicity).
%C A091304 Omega(n) of the odd integers follows a pattern similar to A001222, with 
               4 maxima instead of 2 - i.e. between 2^n and (2^(n+1) - 1) there 
               are two numbers with exactly n factors (2^n and 2^(n-1) * 3) while 
               the odd integers have 4 maxima (3^n, 3^(n-1) * 5, 3^(n-1) * 7, 5^2*3^(n-2)) 
               between 3^n and 3^(n+1) - 1.
%F A091304 Odd members of A001222, generated using the function Omega(n)
%e A091304 Omega(1) = 1, Omega(9) = 2 (3 * 3 = 9), Omega (243) = 5 (3 * 3 * 3 * 
               3 * 3 = 243), Omega(51) = 2 (3 * 17 = 51)
%Y A091304 Cf. A001222.
%Y A091304 Sequence in context: A103956 A103957 A091853 this_sequence A049847 A025431 
               A161070
%Y A091304 Adjacent sequences: A091301 A091302 A091303 this_sequence A091305 A091306 
               A091307
%K A091304 easy,nonn
%O A091304 0,5
%A A091304 Andrew Plewe (aplewe(AT)sbcglobal.net), Feb 20 2004

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