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 A373002 #11 May 19 2024 09:41:48 %S A373002 1,4,9,24,25,120,49,144,135,540,121,1728,169,1456,2145,800,289,5220, %T A373002 361,8840,5985,5544,529,21216,1125,9100,1863,25200,841,252000,961, %U A373002 4160,23529,20196,31465,94392,1369,28120,38961,113520,1681,991452,1849,101024,118215 %N A373002 a(n) = Sum_{k=1..n} tau( (n/gcd(k,n))^n ). %F A373002 a(n) = n * A373003(n). %F A373002 If p is prime, a(p) = p^2. %F A373002 a(n) = Sum_{d|n} phi(d) * tau(d^n). %o A373002 (PARI) a(n) = sumdiv(n, d, eulerphi(d)*numdiv(d^n)); %Y A373002 Cf. A062380, A062949, A372997, A372999. %Y A373002 Cf. A344223, A373003. %K A373002 nonn %O A373002 1,2 %A A373002 _Seiichi Manyama_, May 19 2024