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 A062509 #24 Sep 17 2022 11:41:53 %S A062509 1,2,3,4,5,36,7,8,9,100,11,144,13,196,225,16,17,324,19,400,441,484,23, %T A062509 576,25,676,27,784,29,27000,31,32,1089,1156,1225,1296,37,1444,1521, %U A062509 1600,41,74088,43,1936,2025,2116,47,2304,49,2500,2601,2704,53,2916 %N A062509 a(n) = n^omega(n). %C A062509 Not always equal to product of unitary divisors of n [compare with A061537]. This deviates from A061537 at 30, 42, 60, 66, etc. %H A062509 Harry J. Smith, <a href="/A062509/b062509.txt">Table of n, a(n) for n = 1..1000</a> %F A062509 a(n) = Sum_{d|n} tau(d^n)*mu(n/d). - _Ridouane Oudra_, Sep 17 2022 %e A062509 n=30: a(30) = 30^3 = 27000; %e A062509 n=72: a(72) = 72^2 = 5184. %t A062509 Table[n^PrimeNu[n],{n,60}] (* _Harvey P. Dale_, Jan 14 2013 *) %o A062509 (PARI) a(n)={n^omega(n)} \\ _Harry J. Smith_, Aug 08 2009 %o A062509 (Haskell) %o A062509 a062509 n = n ^ a001221 n -- _Reinhard Zumkeller_, Sep 13 2013 %Y A062509 Cf. A001221, A061537, A034444, A000005, A033992. %Y A062509 Cf. A176029, A229109. %K A062509 nonn %O A062509 1,2 %A A062509 _Labos Elemer_, Jul 13 2001