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A176029 a(n)= n^Omega(n).

%I A176029 #13 May 24 2021 18:26:26
%S A176029 1,2,3,16,5,36,7,512,81,100,11,1728,13,196,225,65536,17,5832,19,8000,
%T A176029 441,484,23,331776,625,676,19683,21952,29,27000,31,33554432,1089,1156,
%U A176029 1225,1679616,37,1444,1521,2560000,41,74088,43,85184,91125,2116,47
%N A176029 a(n)= n^Omega(n).
%H A176029 Reinhard Zumkeller, <a href="/A176029/b176029.txt">Table of n, a(n) for n = 1..10000</a>
%F A176029 a(n) = n^A001222(n).
%e A176029 a(1) = 1^0 = 1 ; a(2) = 2^1 = 2 ; a(3) = 3^1 = 3 ; a(4) = 4^2 = 16 ; a(12) = 12^3 = 1728.
%p A176029 A176029 := proc(n)
%p A176029       n^numtheory[bigomega](n) ;
%p A176029 end proc: # _R. J. Mathar_, Jul 08 2012
%t A176029 Array[ #^Plus @@ Last /@ FactorInteger[ # ] &, 105]
%t A176029 PrimeOmega[Range[120]] (* Jul 07 2012 *)
%Y A176029 Cf. A001222, A167746.
%K A176029 nonn,easy
%O A176029 1,2
%A A176029 _Michel Lagneau_, Apr 06 2010, corrected Jul 07 2012