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.

A067582 Nonprime values of n such that bigomega(n)^omega(n)=omega(n)^bigomega(n) where bigomega(n) is the number of prime factors of n (counted with multiplicity) and omega(n) the number of distinct prime factors of n.

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%I A067582 #12 Oct 15 2015 16:38:13
%S A067582 1,6,10,14,15,21,22,24,26,30,33,34,35,36,38,39,40,42,46,51,54,55,56,
%T A067582 57,58,62,65,66,69,70,74,77,78,82,85,86,87,88,91,93,94,95,100,102,104,
%U A067582 105,106,110,111,114,115,118,119,122,123,129,130,133,134,135,136,138,141
%N A067582 Nonprime values of n such that bigomega(n)^omega(n)=omega(n)^bigomega(n) where bigomega(n) is the number of prime factors of n (counted with multiplicity) and omega(n) the number of distinct prime factors of n.
%C A067582 Consists of nonprime squarefree numbers A000469(n) and numbers of the forms p*q^3 and p^2*q^2 for distinct primes p and q. (The solutions in positive integers of x^y=y^x are x=y and {x,y}={2,4}. The first case gives the squarefree numbers; the second gives the other two forms.)
%o A067582 (PARI) is(n)=my(f=factor(n)[,2],b=vecsum(f),o=#f); b!=1 && b^o==o^b \\ _Charles R Greathouse IV_, Oct 15 2015
%K A067582 nonn
%O A067582 1,2
%A A067582 _Benoit Cloitre_, Jan 30 2002
%E A067582 Edited by _Dean Hickerson_, Jun 18 2002