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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.

A373002 a(n) = Sum_{k=1..n} tau( (n/gcd(k,n))^n ).

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%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