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A295164 Number of squarefree numbers m <= n that have a prime divisor greater than sqrt(n) (i.e., A006530(m) > sqrt(n)). 0

%I #6 Nov 21 2017 19:37:23

%S 0,1,2,1,2,3,4,4,2,3,4,4,5,6,7,7,8,8,9,9,10,11,12,12,9,10,10,10,11,11,

%T 12,12,13,14,15,15,16,17,18,18,19,20,21,21,21,22,23,23,18,18,19,19,20,

%U 20,21,21,22,23,24,24,25,26,26,26,27,28,29,29,30,30,31,31,32,33,33,33,34,35,36,36,36,37,38,38,39,40,41,41,42,42,43,43,44,45,46,46,47,47,47,47

%N Number of squarefree numbers m <= n that have a prime divisor greater than sqrt(n) (i.e., A006530(m) > sqrt(n)).

%F a(n) = Sum_{prime p > sqrt(n)} A013928(floor(n/p)+1).

%F a(n) = A013928(n+1) - A295101(n).

%Y Cf. A241419.

%K nonn

%O 1,3

%A _Max Alekseyev_, Nov 16 2017

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Last modified April 25 10:01 EDT 2024. Contains 371967 sequences. (Running on oeis4.)