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A176029 a(n)= n^Omega(n). 18
1, 2, 3, 16, 5, 36, 7, 512, 81, 100, 11, 1728, 13, 196, 225, 65536, 17, 5832, 19, 8000, 441, 484, 23, 331776, 625, 676, 19683, 21952, 29, 27000, 31, 33554432, 1089, 1156, 1225, 1679616, 37, 1444, 1521, 2560000, 41, 74088, 43, 85184, 91125, 2116, 47 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
a(n) = n^A001222(n).
EXAMPLE
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.
MAPLE
A176029 := proc(n)
n^numtheory[bigomega](n) ;
end proc: # R. J. Mathar, Jul 08 2012
MATHEMATICA
Array[ #^Plus @@ Last /@ FactorInteger[ # ] &, 105]
PrimeOmega[Range[120]] (* Jul 07 2012 *)
CROSSREFS
Sequence in context: A103390 A167761 A364813 * A218323 A345136 A128537
KEYWORD
nonn,easy
AUTHOR
Michel Lagneau, Apr 06 2010, corrected Jul 07 2012
STATUS
approved

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Last modified December 7 11:26 EST 2023. Contains 367650 sequences. (Running on oeis4.)