|
| |
| |
|
|
|
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;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,3
|
|
|
COMMENTS
|
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 McGarvey, May 16 2004
|
|
|
LINKS
|
Harry J. Smith, Table of n, a(n) for n = 1..200
|
|
|
FORMULA
|
n log n / (log log n) << log a(n) < n log n. [Charles R Greathouse IV, Jan 19 2012]
|
|
|
PROG
|
(PARI) { for (n=1, 200, p=eulerphi(n); write("b063439.txt", n, " ", p^p) ) } [From Harry J. Smith, Aug 21 2009]
|
|
|
CROSSREFS
|
Cf. A000010, A000312, A014197.
Sequence in context: A097572 A160365 A080509 * A218050 A107052 A000790
Adjacent sequences: A063436 A063437 A063438 * A063440 A063441 A063442
|
|
|
KEYWORD
|
nonn,changed
|
|
|
AUTHOR
|
Reinhard Zumkeller, Jul 24 2001
|
|
|
STATUS
|
approved
|
| |
|
|