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.

A141552 Transformed products of prime factors of the composites, the largest prime and smallest prime incremented by 1.

This page as a plain text file.
%I A141552 #4 Mar 30 2012 18:52:27
%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,
%T A141552 72,60,56,72,72,72,72,72,96,64,90,72,84,108,72,96,80,90,108,96,96,144,
%U A141552 84,108,108,96,120,144,114,120,120,96,126,144,144,126,144,108,132,120,144
%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.
%K A141552 nonn
%O A141552 1,1
%A A141552 _Juri-Stepan Gerasimov_, Aug 14 2008
%E A141552 Edited and corrected by _R. J. Mathar_, Aug 18 2008