The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A064800 n plus the number of its prime factors: a(n) = n + A001222(n). 9

%I #18 Nov 11 2016 23:53:53

%S 1,3,4,6,6,8,8,11,11,12,12,15,14,16,17,20,18,21,20,23,23,24,24,28,27,

%T 28,30,31,30,33,32,37,35,36,37,40,38,40,41,44,42,45,44,47,48,48,48,53,

%U 51,53,53,55,54,58,57,60,59,60,60,64,62,64,66,70,67,69,68,71,71,73,72

%N n plus the number of its prime factors: a(n) = n + A001222(n).

%C Prime factors counted with multiplicity. - _Harvey P. Dale_, Aug 19 2015

%H Harry J. Smith, <a href="/A064800/b064800.txt">Table of n, a(n) for n=1,...,1000</a>

%e a(42) = 45 = 42 + 3 (as 42 = 2 * 3 * 7)

%p A064800 := proc(n)

%p n+numtheory[bigomega](n) ;

%p end proc: # _R. J. Mathar_, Oct 21 2012

%t Table[n + PrimeOmega[n],{n,80}] (* _Harvey P. Dale_, Aug 19 2015 *)

%o (PARI) { for (n=1, 1000, write("b064800.txt", n, " ", n + bigomega(n)) ) } \\ _Harry J. Smith_, Sep 26 2009

%o (Haskell)

%o a064800 n = a001222 n + n -- _Reinhard Zumkeller_, Oct 27 2012

%Y Cf. A001222, A229109.

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Oct 21 2001

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 5 14:50 EDT 2024. Contains 373107 sequences. (Running on oeis4.)