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 A348279 #15 Dec 07 2021 16:48:48
%S A348279 0,2,3,18,5,35,7,114,57,77,11,243,13,135,128,626,17,467,19,573,220,
%T A348279 299,23,1395,255,405,786,1047,29,1160,31,3186,476,665,432,2835,37,819,
%U A348279 640,3389,41,2100,43,2427,1937,1175,47,7283,693,2577,1040,3333,53,5570,896,6295,1276
%N A348279 a(n) = Sum_{d|n} d*d', where d' is the arithmetic derivative of d (A003415).
%H A348279 Antti Karttunen, <a href="/A348279/b348279.txt">Table of n, a(n) for n = 1..20000</a>
%F A348279 a(p) = p for primes p since we have a(p) = 1*1' + p*p' = 1*0 + p*1 = p.
%F A348279 a(n) = Sum_{d|n} A190116(d). - _Antti Karttunen_, Dec 07 2021
%e A348279 a(4) = 18; a(4) = 1*1' + 2*2' + 4*4' = 1*0 + 2*1 + 4*4 = 18.
%o A348279 (PARI) ad(n) = vecsum([n/f[1]*f[2]|f<-factor(n+!n)~]); \\ A003415
%o A348279 a(n) = sumdiv(n, d, d*ad(d)); \\ _Michel Marcus_, Oct 10 2021
%Y A348279 Cf. A003415 (arithmetic derivative).
%Y A348279 Inverse Möbius transform of A190116.
%Y A348279 Cf. also A347130.
%K A348279 nonn
%O A348279 1,2
%A A348279 _Wesley Ivan Hurt_, Oct 09 2021