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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A133032 a(n) = n raised to power p(n), where p(n) is the partition number of n. 1
0, 1, 4, 27, 1024, 78125, 362797056, 4747561509943, 73786976294838206464, 42391158275216203514294433201, 1000000000000000000000000000000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..20

FORMULA

a(n) = n^A000041(n)

EXAMPLE

a(6)=362797056 because the partition number of 6 is 11 and 6^11=362797056.

MAPLE

with(combinat): seq(n^numbpart(n), n=0..11); - Emeric Deutsch, Nov 24 2007

MATHEMATICA

Table[n^(PartitionsP[n]), {n, 0, 20}] (* G. C. Greubel, Oct 02 2017 *)

PROG

(PARI) for(n=0, 20, print1(n^(numbpart(n)), ", ")) \\ G. C. Greubel, Oct 02 2017

CROSSREFS

Cf. A132641. Partition numbers: A000041.

Sequence in context: A197990 A068327 A066842 * A271385 A110763 A066352

Adjacent sequences:  A133029 A133030 A133031 * A133033 A133034 A133035

KEYWORD

nonn

AUTHOR

Omar E. Pol, Oct 31 2007

EXTENSIONS

More terms from Emeric Deutsch, Nov 24 2007

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 October 20 01:25 EDT 2018. Contains 316378 sequences. (Running on oeis4.)