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.
%I A160114 #10 Jul 22 2025 06:24:32 %S A160114 0,1,2,1,0,-1,3,7,-10,-1,-7,-14,-59,21,34,-15,103,-104,302,-38,-514, %T A160114 -290,1130,504,2466,6813,-1854,1590,-4879,3963,-4767,-22709 %N A160114 Fluctuations of the number of cubefree integers not exceeding 10^n. %C A160114 The asymptotic density of cubefree integers is the reciprocal of Apery's constant 1/zeta(3) = 0.83190737258... The number of cubefree integers not exceeding N is thus roughly N/zeta(3). When N is a power of 10, this sequence gives the difference between the actual number (A160112) and that linear estimate (rounded to the nearest integer). %H A160114 G. P. Michon, <a href="http://www.numericana.com/answer/constants.htm#apery">Reciprocal of Apery's constant</a>. %H A160114 G. P. Michon, <a href="http://www.numericana.com/answer/counting.htm#cubefree">On the number of cubefree integers not exceeding N</a>. %H A160114 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Cubefree.html">Cubefree</a>. %F A160114 a(n) = A160112(n)-round(10^n/zeta(3)) %Y A160114 A004709 (cubefree integers). A160112 & A160113 (counting cubefree integers). %K A160114 easy,sign %O A160114 0,3 %A A160114 _Gerard P. Michon_, May 06 2009 %E A160114 a(30)-a(31) from _Chai Wah Wu_, Aug 08 2024