login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A176029 a(n)= n^Omega(n) 2
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

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

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

Cf. A001222, A167746.

Sequence in context: A326578 A103390 A167761 * A218323 A128537 A266265

Adjacent sequences:  A176026 A176027 A176028 * A176030 A176031 A176032

KEYWORD

nonn,easy

AUTHOR

Michel Lagneau, Apr 06 2010, corrected Jul 07 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 5 03:31 EST 2020. Contains 338943 sequences. (Running on oeis4.)