cp's OEIS Frontend

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.

A060969 Number of cubes of primes <= 2^n.

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%I A060969 #24 Mar 22 2025 04:42:50
%S A060969 0,0,0,1,1,2,2,3,3,4,4,5,6,8,9,11,12,15,18,22,26,31,37,46,54,66,79,97,
%T A060969 117,141,172,209,257,309,376,457,564,687,842,1028,1266,1549,1900,2327,
%U A060969 2861,3512,4323,5320,6542,8072,9936,12251,15104,18640,23000,28428
%N A060969 Number of cubes of primes <= 2^n.
%H A060969 Amiram Eldar, <a href="/A060969/b060969.txt">Table of n, a(n) for n = 0..221</a>
%H A060969 <a href="/index/Pri#primepop">Index entries for sequences related to numbers of primes in various ranges</a>.
%F A060969 a(3*n) = A007053(n). - _Chai Wah Wu_, Jan 23 2025
%F A060969 a(n) = A000720(A017979(n)). - _Amiram Eldar_, Mar 22 2025
%e A060969 For n = 10, the cubes of primes not exceeding 2^10 = 1024 are 8, 27, 125, 343, so a(10) = 4.
%t A060969 Table[ PrimePi[ Floor[ 2^(g/3)//N ] ], {g, 0, 90} ]
%Y A060969 Cf. A000720, A007053, A017979, A030078, A036386, A060967, A060970, A060971.
%K A060969 nonn
%O A060969 0,6
%A A060969 _Labos Elemer_, May 09 2001
%E A060969 Missing a(0)=0 inserted by _Sean A. Irvine_, Jan 09 2023