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 A383768 #11 May 09 2025 10:34:21
%S A383768 1,4,27,24,125,54,343,160,2187,250,1331,324,2197,686,3375,1120,4913,
%T A383768 2187,6859,1500,9261,2662,12167,2160,46875,4394,98415,4116,24389,3375,
%U A383768 29791,8064,35937,9826,42875,6561,50653,13718,59319,10000,68921,9261,79507,15972,273375
%N A383768 Numerators of the sequence whose Dirichlet convolution with itself yields cubes (A000578).
%H A383768 Vaclav Kotesovec, <a href="/A383768/b383768.txt">Table of n, a(n) for n = 1..10000</a>
%H A383768 Vaclav Kotesovec, <a href="/A383768/a383768.jpg">Graph - the asymptotic ratio (10000 terms)</a>
%F A383768 Sum_{k=1..n} A383768(k) / A383769(k) ~ n^4/(4*sqrt(Pi*log(n))) * (1 + (1-2*gamma)/(8*log(n))), where gamma is the Euler-Mascheroni constant A001620.
%o A383768 (PARI) for(n=1, 100, print1(numerator(direuler(p=2, n, 1/(1-p^3*X)^(1/2))[n]), ", "))
%Y A383768 Cf. A000578, A299149, A299150, A318649, A318512, A383769 (denominators).
%K A383768 nonn,frac
%O A383768 1,2
%A A383768 _Vaclav Kotesovec_, May 09 2025