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.

A079867 a(1)=1 and for n>1: floor(n^(1/Omega(n)))^Omega(n), where Omega(n) is the total number of prime factors of n (A001222).

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%I A079867 #6 May 19 2018 12:08:52
%S A079867 1,2,3,4,5,4,7,8,9,9,11,8,13,9,9,16,17,8,19,8,16,16,23,16,25,25,27,27,
%T A079867 29,27,31,32,25,25,25,16,37,36,36,16,41,27,43,27,27,36,47,32,49,27,49,
%U A079867 27,53,16,49,16,49,49,59,16,61,49,27,64,64,64,67,64,64,64,71,32,73,64
%N A079867 a(1)=1 and for n>1: floor(n^(1/Omega(n)))^Omega(n), where Omega(n) is the total number of prime factors of n (A001222).
%C A079867 a(n)<=A079869(n); A020639(n)<=a(n)<=A006530(n);
%C A079867 a(m)=m=A079869(m)=A079871(m) iff m is a prime power (A000961).
%t A079867 Join[{1},Table[Floor[n^(1/PrimeOmega[n])]^PrimeOmega[n],{n,2,80}]] (* _Harvey P. Dale_, May 19 2018 *)
%Y A079867 a(n)=A079866(n)^A001222(n), cf. A068794, A068795.
%K A079867 nonn
%O A079867 1,2
%A A079867 _Reinhard Zumkeller_, Jan 13 2003