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 A373003 #7 May 19 2024 09:41:44 %S A373003 1,2,3,6,5,20,7,18,15,54,11,144,13,104,143,50,17,290,19,442,285,252, %T A373003 23,884,45,350,69,900,29,8400,31,130,713,594,899,2622,37,740,999,2838, %U A373003 41,23606,43,2296,2627,1080,47,4884,91,2314,1715,3234,53,3836,2295,5880,2145 %N A373003 a(n) = (1/n) * Sum_{k=1..n} tau( (n/gcd(k,n))^n ). %F A373003 If p is prime, a(p) = p. %F A373003 a(n) = (1/n) * Sum_{d|n} phi(d) * tau(d^n). %o A373003 (PARI) a(n) = sumdiv(n, d, eulerphi(d)*numdiv(d^n))/n; %Y A373003 Cf. A344226, A373002. %K A373003 nonn %O A373003 1,2 %A A373003 _Seiichi Manyama_, May 19 2024