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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.

A279539 Sum of ceilings of natural logs of first n integers.

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%I A279539 #16 Jun 28 2024 04:18:55
%S A279539 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 A279539 74,78,82,86,90,94,98,102,106,110,114,118,122,126,130,134,138,142,146,
%U A279539 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 A279539 Sum of ceilings of natural logs of first n integers.
%H A279539 Paolo Xausa, <a href="/A279539/b279539.txt">Table of n, a(n) for n = 1..10000</a>
%t A279539 Accumulate[Ceiling[Log[Range[100]]]] (* _Paolo Xausa_, Jun 28 2024 *)
%o A279539 (PARI) a(n) = sum(i=1, n, ceil(log(i))) \\ _Felix Fröhlich_, Dec 14 2016
%Y A279539 Cf. A001855, which is the same sequence for base-2 logarithms.
%Y A279539 Partial sums of A004233.
%K A279539 nonn
%O A279539 1,3
%A A279539 _Jeffrey Shallit_, Dec 14 2016