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 A344272 #15 May 24 2021 01:32:10
%S A344272 54,816,10530,135200,1733760,22216752,284685408,3647978320,
%T A344272 46745561100,599002268832,7675674748560
%N A344272 a(n) is the least k such that the average number of nonunitary divisors of {1..k} is >= n.
%F A344272 Lim_{n->oo} a(n+1)/a(n) = exp(1/(1-1/zeta(2))) = exp(Pi^2/(Pi^2-6)) = 12.8140996101...
%e A344272 a(1) = 54 since the average of the number of nonunitary divisors of {1..54} is (Sum_{k=1..54} A056175(k))/54 = 1.
%t A344272 nd[n_] := DivisorSigma[0,n] - 2^PrimeNu[n]; seq={}; s = 0; k = 1; Do[While[s = s + nd[k]; s < k*n, k++]; AppendTo[seq, k]; k++, {n, 1, 5}]; seq
%Y A344272 Cf. A013661, A056175.
%Y A344272 The nonunitary version of A085829.
%Y A344272 Similar sequences: A328331, A336304, A338891, A338943, A344273, A344274.
%K A344272 nonn,more
%O A344272 1,1
%A A344272 _Amiram Eldar_, May 13 2021
%E A344272 a(10)-a(11) from _Martin Ehrenstein_, May 23 2021