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 A349371 #17 Nov 21 2021 10:16:58
%S A349371 1,2,3,3,4,6,5,4,8,8,7,9,8,10,14,5,10,16,11,12,18,14,13,12,17,16,22,
%T A349371 15,16,28,17,6,26,20,26,24,20,22,30,16,22,36,23,21,42,26,25,15,30,34,
%U A349371 38,24,28,44,38,20,42,32,31,42,32,34,55,7,44,52,35,30,50,52,37,32,38,40,65,33,50,60,41,20,63,44,43
%N A349371 Inverse Möbius transform of Kimberling's paraphrases (A003602).
%C A349371 Dirichlet convolution of sigma (A000203) with A349431, or equally, A264740 with A349447. - _Antti Karttunen_, Nov 21 2021
%H A349371 Antti Karttunen, <a href="/A349371/b349371.txt">Table of n, a(n) for n = 1..20000</a>
%F A349371 a(n) = Sum_{d|n} A003602(d).
%F A349371 a(n) = Sum_{d|n} A000203(n/d)*A349431(d) = Sum_{d|n} A264740(n/d)*A349447(d). - _Antti Karttunen_, Nov 21 2021
%t A349371 k[n_] := (n / 2^IntegerExponent[n, 2] + 1)/2; a[n_] := DivisorSum[n, k[#] &]; Array[a, 100] (* _Amiram Eldar_, Nov 16 2021 *)
%o A349371 (PARI)
%o A349371 A003602(n) = (1+(n>>valuation(n,2)))/2;
%o A349371 A349371(n) = sumdiv(n,d,A003602(d));
%Y A349371 Cf. A000203, A264740.
%Y A349371 Cf. also A347954, A347955, A347956, A349136, A349370, A349372, A349373, A349374, A349375, A349390, A349431, A349444, A349447 for Dirichlet convolutions of other sequences with A003602.
%Y A349371 Cf. also A349393.
%K A349371 nonn
%O A349371 1,2
%A A349371 _Antti Karttunen_, Nov 15 2021