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 A178595 #14 May 20 2023 11:16:11
%S A178595 1,2,3,5,7,4,6,11,9,13,10,15,14,17,8,19,21,25,12,22,23,18,35,26,33,20,
%T A178595 27,49,39,30,29,28,34,55,31,16,45,38,42,65,51,50,77,24,37,57,63,44,75,
%U A178595 46,91,36,70,85,41,52,66,40,69,43,95,54,105,121,98,125,78,119,99,60,58
%N A178595 Natural numbers sorted by the sum of square roots of prime factors.
%C A178595 Prime factors counted with multiplicity. - _Harvey P. Dale_, May 20 2023
%H A178595 J. Pohjonen, <a href="/A178595/b178595.txt">Table of n, a(n) for n=1..1000</a>
%H A178595 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A178595 For n >= 1, Sum_{k=1..A001222(a(n))} sqrt(A027746(a(n),k)) < Sum_{k=1..A001222(a(n+1))} sqrt(A027746(a(n+1),k)). - _Peter Munn_, Aug 17 2022
%t A178595 SortBy[Table[{n,Total[N[Sqrt[Flatten[Table[#[[1]],#[[2]]]&/@FactorInteger[n]]]]]},{n,150}],Last][[;;,1]] (* _Harvey P. Dale_, May 20 2023 *)
%Y A178595 Cf. A001222, A027746.
%Y A178595 Similarly defined sequences: A064364, A168521.
%K A178595 nonn
%O A178595 1,2
%A A178595 _Joonas Pohjonen_, May 30 2010