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 A344461 #4 May 19 2021 23:51:20 %S A344461 1,3,4,9,6,12,8,29,37,18,12,60,14,24,24,341,18,273,20,134,32,36,24, %T A344461 236,3151,42,784,240,30,72,32,4645,48,54,48,48789,38,60,56,574,42,96, %U A344461 44,548,3462,72,48,21740,823593,103203,72,750,54,6888,72,1072,80,90,60,1160 %N A344461 a(n) = Sum_{d|n} d^gcd(d,n/d). %C A344461 If p is prime, a(p) = Sum_{d|p} d^gcd(d,p/d) = 1^1 + p^1 = p + 1. %e A344461 a(8) = Sum_{d|8} d^gcd(d,8/d) = 1^1 + 2^2 + 4^2 + 8^1 = 29. %t A344461 Table[Sum[k^GCD[k, n/k] (1 - Ceiling[n/k] + Floor[n/k]), {k, n}], {n, 80}] %Y A344461 Cf. A055155, A337180. %K A344461 nonn %O A344461 1,2 %A A344461 _Wesley Ivan Hurt_, May 19 2021