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 A160039 #9 Jun 02 2025 01:39:23 %S A160039 1,3,11,25,274,294,13068,13698,114064,1062864,120543840,123870240, %T A160039 19802759040,20247546240,289277533440,4420892649600,1223405590579200, %U A160039 1243166003251200,431565146817638400,437647401838080000 %N A160039 Numerators of n!*(1 + 1/2 + 1/3 +...+ 1/(n+1)). %C A160039 The denominators of n!*(1 + 1/2 + 1/3 +...+ 1/(n+1)) are A014973 with offset 0. %p A160039 FH := n -> numer(n!*add(1/i,i=1..n+1)); seq(FH(i),i=0..20); %t A160039 Table[Numerator[n! HarmonicNumber[n+1]], {n, 0, 19}] (* _Jean-François Alcover_, Jun 17 2019 *) %Y A160039 Cf. A014973 (denominators). %K A160039 easy,frac,nonn %O A160039 0,2 %A A160039 _Peter Luschny_, Apr 30 2009