Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A063439
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A063439 phi(n)^phi(n). +0
3
1, 1, 4, 4, 256, 4, 46656, 256, 46656, 256, 10000000000, 256, 8916100448256, 46656, 16777216, 16777216, 18446744073709551616, 46656, 39346408075296537575424, 16777216, 8916100448256, 10000000000, 341427877364219557396646723584 (list; graph; listen)
OFFSET

1,3

COMMENT

Number of endofunctions over RRS[n]. Used in proof of Dirichlet theorem to derive characters: a(n)=A000312[A000010(n)] - Labos E. (labos(AT)ana.sote.hu), May 27 2002

The sum n=1..infinity 1/phi(n)^phi(n) ~ 2.765711032... and so apparently equals the sum n=1..infinity A014197(n)/n^n where the sequence A014197 is the number of numbers m such that phi(m) = n. Is this a known result? - Gerald A. McGarvey (Gerald.McGarvey(AT)comcast.net), May 16 2004

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,200

PROGRAM

(PARI) { for (n=1, 200, p=eulerphi(n); write("b063439.txt", n, " ", p^p) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 21 2009]

CROSSREFS

Cf. A000010, A000312.

Cf. A014197.

Sequence in context: A097572 A160365 A080509 this_sequence A107052 A000790 A068556

Adjacent sequences: A063436 A063437 A063438 this_sequence A063440 A063441 A063442

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 24 2001

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


AT&T Labs Research