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!)
A116087 Number of distinct prime factors of P(F(n)) where F(n) is the Fibonacci number and P(n) is the unrestricted partition number. 1
0, 0, 0, 1, 1, 1, 2, 1, 3, 3, 4, 3, 3, 4, 3, 4, 4, 3, 8, 5, 7, 8, 10 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Table of n, a(n) for n=0..22.

FORMULA

a(n) = A001221(A000041(A000045(n))). - Michel Marcus, Jul 31 2015

EXAMPLE

a(14)=3 because F(14)=377 and P(377)=2389 x 16197169 x 41263051.

MAPLE

with(combinat): with(numtheory): a:=n->nops(factorset(numbpart(fibonacci(n)))): seq(a(n), n=0..18); # Emeric Deutsch, Jul 26 2006

MATHEMATICA

Table[PrimeNu[PartitionsP[Fibonacci[n]]], {n, 0, 50}] (* G. C. Greubel, May 16 2017 *)

PROG

(PARI) A116087(n)={ omega(numbpart(fibonacci(n))) ; }

{ for(n=0, 80, print(A116087(n)) ; ) ; } \\ R. J. Mathar, Jan 26 2008

CROSSREFS

Sequence in context: A340284 A218975 A048619 * A328518 A163281 A307857

Adjacent sequences:  A116084 A116085 A116086 * A116088 A116089 A116090

KEYWORD

nonn,more

AUTHOR

Parthasarathy Nambi, Mar 15 2006

EXTENSIONS

More terms from Emeric Deutsch, Jul 26 2006

More terms from R. J. Mathar, Jan 26 2008

a(22) from Amiram Eldar, Oct 18 2019

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 22 19:57 EDT 2022. Contains 353957 sequences. (Running on oeis4.)