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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.

A356068 Number of integers ranging from 1 to n that are not prime-powers (1 is not a prime-power).

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%I A356068 #8 Aug 01 2022 08:21:02
%S A356068 1,1,1,1,1,2,2,2,2,3,3,4,4,5,6,6,6,7,7,8,9,10,10,11,11,12,12,13,13,14,
%T A356068 14,14,15,16,17,18,18,19,20,21,21,22,22,23,24,25,25,26,26,27,28,29,29,
%U A356068 30,31,32,33,34,34,35,35,36,37,37,38,39,39,40,41,42
%N A356068 Number of integers ranging from 1 to n that are not prime-powers (1 is not a prime-power).
%F A356068 a(n) = A085970(n) + 1.
%e A356068 The a(30) = 14 numbers: 1, 6, 10, 12, 14, 15, 18, 20, 21, 22, 24, 26, 28, 30.
%t A356068 Table[Length[Select[Range[n],!PrimePowerQ[#]&]],{n,100}]
%Y A356068 The complement is counted by A025528, with 1's A065515.
%Y A356068 For primes instead of prime-powers we have A062298, with 1's A065855.
%Y A356068 The version treating 1 as a prime-power is A085970.
%Y A356068 One more than the partial sums of A143731.
%Y A356068 A000688 counts factorizations into prime-powers.
%Y A356068 A001222 counts prime-power divisors.
%Y A356068 A246655 lists the prime-powers (A000961 includes 1), towers A164336.
%Y A356068 Cf. A000720, A023894, A036234, A050361, A054685, A069513, A355743, A356064, A356065, A356066.
%K A356068 nonn
%O A356068 1,6
%A A356068 _Gus Wiseman_, Jul 31 2022