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 A074468 #20 May 05 2024 01:51:17
%S A074468 1,7,29,129,571,2525,11167,49372,218295,965177,4267457,18868240,
%T A074468 83424514,368855252,1630865929,7210751807,31881800153
%N A074468 Least number m such that the Sigma-Harmonic sequence Sum_{k=1..m} 1/sigma(k) >= n.
%D A074468 Jean-Marie De Koninck, Ces nombres qui nous fascinent, Entry 129, p. 44, Ellipses, Paris, 2008.
%F A074468 Limit_{n->oo} a(n+1)/a(n) = exp(1/c) = 4.42142525588146107878... where c = A308039. - _Amiram Eldar_, May 05 2024
%t A074468 {s=0, s1=0}; Do[s=s+(1/DivisorSigma[1, n]); If[Greater[Floor[s], s1], s1=Floor[s]; Print[{n, Floor[s]}]], {n, 1, 1000000}]
%Y A074468 Cf. A000203 (sigma), A002387, A004080, A046024, A074631, A074633, A074467, A212717, A308039.
%K A074468 nonn,more
%O A074468 1,2
%A A074468 _Labos Elemer_, Aug 29 2002
%E A074468 2 more terms from _Lekraj Beedassy_, Jul 14 2008
%E A074468 a(11)-a(15) from _Donovan Johnson_, Aug 22 2011
%E A074468 a(16)-a(17) from _Amiram Eldar_, May 05 2024