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A069122 Numbers k such that the squarefree part of k is greater than the squarefree part of (k+1). 1

%I #12 Apr 02 2020 03:11:29

%S 3,7,8,11,15,17,19,23,24,26,31,35,39,43,44,47,48,51,53,55,59,62,63,67,

%T 71,74,79,80,83,87,89,91,95,97,99,103,107,111,115,116,119,120,123,124,

%U 127,131,134,139,143,146,149,151,152,155,159,161,163,167,168,170,174

%N Numbers k such that the squarefree part of k is greater than the squarefree part of (k+1).

%H Amiram Eldar, <a href="/A069122/b069122.txt">Table of n, a(n) for n = 1..10000</a>

%t f[p_, e_] := If[OddQ[e], p, 1]; sqf[n_] := Times @@ (f @@@ FactorInteger[n]); Select[Range[200], sqf[#] > sqf[# + 1] &] (* _Amiram Eldar_, Apr 02 2020 *)

%o (PARI) for(n=1,220,if(core(n)>core(n+1),print1(n,",")))

%Y Cf. A007913.

%K easy,nonn

%O 1,1

%A _Benoit Cloitre_, Apr 07 2002

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)