A279539 - OEIS

%I #16 Jun 28 2024 04:18:55

%S 0,1,3,5,7,9,11,14,17,20,23,26,29,32,35,38,41,44,47,50,54,58,62,66,70,

%T 74,78,82,86,90,94,98,102,106,110,114,118,122,126,130,134,138,142,146,

%U 150,154,158,162,166,170,174,178,182,186,191,196,201,206,211,216,221,226,231,236,241,246,251,256,261,266,271,276,281,286

%N Sum of ceilings of natural logs of first n integers.

%H Paolo Xausa, <a href="/A279539/b279539.txt">Table of n, a(n) for n = 1..10000</a>

%t Accumulate[Ceiling[Log[Range[100]]]] (* _Paolo Xausa_, Jun 28 2024 *)

%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.

%K nonn

%O 1,3

%A _Jeffrey Shallit_, Dec 14 2016