The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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: A103390 A167761 A364813 * A218323 A345136 A128537 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

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