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 A302974 #14 Jul 13 2025 19:16:58
%S A302974 1,1,8,81,32,256,128,16,27,65536,2048,729,8192,16777216,1073741824,
%T A302974 152587890625,131072,2985984,524288,892616806656,4398046511104,
%U A302974 1099511627776,8388608,281474976710656,847288609443,281474976710656,18014398509481984,1499253470328324096
%N A302974 a(n) = numerator of tau(n)^n / n^tau(n).
%C A302974 tau(n) = the number of the divisors of n (A000005).
%C A302974 a(n) <= A302975(n) only for numbers n = 1, 2 and 3.
%H A302974 Harvey P. Dale, <a href="/A302974/b302974.txt">Table of n, a(n) for n = 1..779</a>
%e A302974 For n = 6; tau(6)^6 / 6^tau(6) = 4^6 / 6^4 = 256 / 81; a(6) = 256.
%t A302974 Numerator[#[[2]]^#[[1]]/#[[1]]^#[[2]]]&/@Table[{n,DivisorSigma[0,n]},{n,30}] (* _Harvey P. Dale_, May 29 2023 *)
%o A302974 (Magma) [Numerator((NumberOfDivisors(n)^n) / (n^NumberOfDivisors(n))): n in[1..100]];
%Y A302974 Cf. A000005, A120737, A302975, A302976.
%K A302974 nonn,frac
%O A302974 1,3
%A A302974 _Jaroslav Krizek_, Apr 16 2018