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 A378913 #12 Dec 12 2024 15:12:39 %S A378913 1,1,3,4,1,8,5,11,3,1,1,28,10,18,11,11,1,35,1,23,7,1,1,87,1,10,3,33,1, %T A378913 45,42,63,3,1,5,77,1,38,30,57,1,112,1,47,11,1,1,202,5,1,3,13,1,122,1, %U A378913 107,52,1,1,205,1,103,39,63,10,8,1,71,3,18,1,389,1,74,11 %N A378913 a(n) = sum of all positive m such that sigma(m) divides n, where sigma is the sum-of-divisors function (A000203). %H A378913 Paolo Xausa, <a href="/A378913/b378913.txt">Table of n, a(n) for n = 1..10000</a> %H A378913 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a> %t A378913 With[{nmax = 100}, Table[Total[PositionIndex[Divisible[n, #[[;; n]]]][True]], {n, nmax}] & [DivisorSigma[1, Range[nmax]]]] %o A378913 (PARI) a(n) = vecsum(select(x->(!(n % sigma(x))), [1..n])); \\ _Michel Marcus_, Dec 11 2024 %Y A378913 Row sums of A378912. %Y A378913 Cf. A378915 (positions of ones). %Y A378913 Cf. A000203. %K A378913 nonn %O A378913 1,3 %A A378913 _Paolo Xausa_, Dec 11 2024