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A072586 Number of numbers <= n having prime factors with odd exponents only. 2

%I #9 Sep 18 2022 02:02:49

%S 0,1,2,2,3,4,5,6,6,7,8,8,9,10,11,11,12,12,13,13,14,15,16,17,17,18,19,

%T 19,20,21,22,23,24,25,26,26,27,28,29,30,31,32,33,33,33,34,35,35,35,35,

%U 36,36,37,38,39,40,41,42,43,43,44,45,45,45,46,47,48,48,49,50,51,51,52

%N Number of numbers <= n having prime factors with odd exponents only.

%H Amiram Eldar, <a href="/A072586/b072586.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) ~ c * n , where c = A065463. - _Amiram Eldar_, Sep 18 2022

%t Accumulate @ Table[If[n > 1 && AllTrue[FactorInteger[n][[;; , 2]], OddQ], 1, 0], {n, 1, 100}] (* _Amiram Eldar_, Sep 18 2022 *)

%Y Cf. A000196, A002035, A065463, A295316.

%K nonn

%O 1,3

%A _Reinhard Zumkeller_, Jun 23 2002

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)