login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A023514 a(n) = sum of exponents in prime-power factorization of prime(n) + 1. 6
1, 2, 2, 3, 3, 2, 3, 3, 4, 3, 5, 2, 3, 3, 5, 4, 4, 2, 3, 5, 2, 5, 4, 4, 3, 3, 4, 5, 3, 3, 7, 4, 3, 4, 4, 4, 2, 3, 5, 3, 5, 3, 7, 2, 4, 5, 3, 6, 4, 3, 4, 6, 3, 5, 3, 5, 5, 5, 2, 3, 3, 4, 4, 5, 2, 3, 3, 3, 4, 4, 3, 6, 5, 3, 4, 8, 4, 2, 3, 3, 5, 2, 7, 3, 5, 4, 5, 2, 4, 5, 5, 7, 4, 4, 5, 6, 4, 4, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Paolo P. Lava, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A001222(A000040(n)+1). - Zak Seidov, Jan 04 2016

MAPLE

with(numtheory):

a:= n-> add(i[2], i=ifactors(ithprime(n)+1)[2]):

seq(a(n), n=1..100);

MATHEMATICA

Array[Plus@@Last/@FactorInteger[Prime[ # ]+1]&, 6! ] (* Vladimir Joseph Stephan Orlovsky, Feb 28 2010 *)

PROG

(PARI) a(n) = bigomega(prime(n)+1); \\ Michel Marcus, Jan 04 2016

CROSSREFS

Cf. A210934.

Cf. A000040, A001222.

Sequence in context: A110012 A233542 A245908 * A179751 A039645 A048687

Adjacent sequences:  A023511 A023512 A023513 * A023515 A023516 A023517

KEYWORD

nonn

AUTHOR

Clark Kimberling

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified January 20 02:29 EST 2018. Contains 297938 sequences.