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.

A076403 Squarefree kernel of n-th perfect power.

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%I A076403 #12 Feb 16 2025 08:32:47
%S A076403 1,2,2,3,2,5,3,2,6,7,2,3,10,11,5,2,6,13,14,6,15,3,2,17,6,7,19,10,21,
%T A076403 22,2,23,6,5,26,3,14,29,30,31,10,2,33,34,35,6,11,37,38,39,10,41,6,42,
%U A076403 43,22,15,2,46,3,13,47,6,7,10,51,26,14,53,6,55,5,14,57,58,15,59,30,61,62
%N A076403 Squarefree kernel of n-th perfect power.
%C A076403 a(n) = A007947(A001597(n)).
%H A076403 Reinhard Zumkeller, <a href="/A076403/b076403.txt">Table of n, a(n) for n = 1..10000</a>
%H A076403 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PerfectPower.html">Perfect Powers</a>.
%H A076403 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SquarefreePart.html">Squarefree Part</a>.
%F A076403 a(n) = A007947(A025478(n)).
%t A076403 Prepend[Map[Times @@ FactorInteger[#][[All, 1]] &, DeleteCases[#, 0]], 1] &@ Table[If[Set[e, GCD @@ #[[All, -1]]] > 1, Power[n, 1/e], 0] &@ FactorInteger[n], {n, 4000}] (* _Michael De Vlieger_, Apr 25 2017 *)
%o A076403 (Haskell)
%o A076403 a076403 = a007947 . a025478 -- _Reinhard Zumkeller_, Mar 28 2014
%Y A076403 Cf. A025478.
%K A076403 nonn
%O A076403 1,2
%A A076403 _Reinhard Zumkeller_, Oct 09 2002