%N Sum of ceilings of natural logs of first n integers.
%o (PARI) a(n) = sum(i=1, n, ceil(log(i))) \\ _Felix Fröhlich_, Dec 14 2016
%Y Cf. A001855, which is the same sequence for base-2 logarithms.
%Y Partial sums of A004233.
%A _Jeffrey Shallit_, Dec 14 2016