Search: id:A141552
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%I A141552
%S A141552 9,12,18,16,18,24,24,24,36,36,36,32,36,48,36,42,48,48,54,72,48,54,48,72,
%T A141552 60,56,72,72,72,72,72,96,64,90,72,84,108,72,96,80,90,108,96,96,144,84,
%U A141552 108,108,96,120,144,114,120,120,96,126,144,144,126,144,108,132,120,144
%N A141552 Transformed products of prime factors of the composites, the largest 
               prime and smallest prime incremented by 1.
%C A141552 In the prime number decomposition of k=A002808(i), i=1,2,3,.., one instance 
               of the largest prime, pmax=A052369(i), is replaced by pmax+1 and 
               one instance of the smallest prime, pmin=A056608(i), is replaced 
               by pmin+1. The product of this modified list of factors, k*(pmax+1)*(pmin+1)/
               (pmin*pmax), is added to the sequence.
%e A141552 k(1)=4=(p(max)=2)*(p(min)=2), transformed (2+1)*(2+1)=3*3=9=a(1).
%e A141552 k(2)=6=(p(max)=3)*(p(min)=2), transformed (3+1)*(2+1)=4*3=12=a(2).
%e A141552 k(6)=12=(p(max)=3)*(p=2)*(p(min)=2), transformed (3+1)*2*(2+1)=4*2*3=24=a(6), 
               etc.
%Y A141552 Cf. A141218, A141219, A141220, A141284.
%Y A141552 Sequence in context: A076674 A027571 A154631 this_sequence A162822 A087269 
               A153973
%Y A141552 Adjacent sequences: A141549 A141550 A141551 this_sequence A141553 A141554 
               A141555
%K A141552 nonn
%O A141552 1,1
%A A141552 Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Aug 14 2008
%E A141552 Edited and corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Aug 18 2008

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