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A369224 Number of semiprimes less than n that do not divide n. 1

%I #5 Jan 16 2024 11:53:41

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

%T 11,12,10,13,13,14,13,15,12,15,13,13,15,16,14,16,15,17,16,18,16,18,17,

%U 19,20,21,17,21,21,20,21,22,20,23,21,23,21,24,21,24,24,23

%N Number of semiprimes less than n that do not divide n.

%F a(n) = Sum_{k=1..n} c(k) * (ceiling(n/k) - floor(n/k)), where c = A064911.

%t Table[Sum[KroneckerDelta[PrimeOmega[k], 2] (Ceiling[n/k] - Floor[n/k]), {k, n}], {n, 100}]

%Y Cf. A001358 (semiprimes), A064911, A369225.

%K nonn,easy

%O 1,7

%A _Wesley Ivan Hurt_, Jan 16 2024

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Last modified July 28 19:58 EDT 2024. Contains 374726 sequences. (Running on oeis4.)