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a(n) = n*omega(n)^n where omega(n) is the number of distinct prime divisors of n.
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%I #16 Apr 20 2021 15:01:19

%S 0,2,3,4,5,384,7,8,9,10240,11,49152,13,229376,491520,16,17,4718592,19,

%T 20971520,44040192,92274688,23,402653184,25,1744830464,27,7516192768,

%U 29,6176733962839470,31,32,283467841536,584115552256,1202590842880

%N a(n) = n*omega(n)^n where omega(n) is the number of distinct prime divisors of n.

%H Harry J. Smith, <a href="/A061340/b061340.txt">Table of n, a(n) for n = 1..500</a>

%e a(6) = 6*(2^6) = 384 because omega(6) = 2.

%t Table[n*PrimeNu[n]^n,{n,40}] (* _Harvey P. Dale_, Nov 22 2012 *)

%o (PARI) for(n=1,20,print(n*omega(n)^n))

%o (PARI) { for (n=1, 500, write("b061340.txt", n, " ", n*omega(n)^n) ) } \\ _Harry J. Smith_, Jul 21 2009

%Y Cf. A001221 (omega), A061452.

%K easy,nice,nonn

%O 1,2

%A _Jason Earls_, Jun 15 2001

%E Spurious commas in several entries removed by _Harry J. Smith_, Jul 21 2009