cp's OEIS Frontend

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.

A160039 Numerators of n!*(1 + 1/2 + 1/3 +...+ 1/(n+1)).

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%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