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.

A114130 Numbers whose factorization involves only prime exponents, all different, and no number appears both as an exponent and as a prime factor.

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%I A114130 #15 Mar 29 2021 05:25:55
%S A114130 8,9,25,32,49,121,125,128,169,243,289,343,361,529,841,961,1331,1369,
%T A114130 1681,1849,2048,2187,2197,2209,2809,3481,3721,4489,4913,5041,5329,
%U A114130 6125,6241,6859,6889,7921,8192,8575,9409,10201,10609,10976,11449,11881,11907
%N A114130 Numbers whose factorization involves only prime exponents, all different, and no number appears both as an exponent and as a prime factor.
%H A114130 Harvey P. Dale, <a href="/A114130/b114130.txt">Table of n, a(n) for n = 1..560</a>
%t A114130 pedQ[n_]:=Module[{fi=Transpose[FactorInteger[n]],a,b},a=fi[[1]];b = fi[[2]]; AllTrue[b,PrimeQ]&&Length[b]==Length[Union[b]]&&Intersection[ a,b]=={}]; Select[Range[12000],pedQ] (* The program uses the AllTrue function from Mathematica version 10 *) (* _Harvey P. Dale_, Jan 24 2015 *)
%Y A114130 Subsequence of A062307.
%K A114130 nonn
%O A114130 1,1
%A A114130 _Jon Wild_, Feb 14 2006