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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A046882 Ultrafactorials: a(n) = n!^n!. 10
1, 1, 4, 46656, 1333735776850284124449081472843776 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(5) = 3175 042373 780336 892901 667920 556557 182493 442088 021222 004926 225128 381629 943118 937129 098831 435345 716937 405655 305190 657814 877412 786176 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000. - Jonathan Vos Post, Dec 09 2004

Note that, by analogy with factorial primes, subfactorial primes, superfactorial primes and hyperfactorial primes, if a(n)+1 or a(n)-1 is prime, it should be called an ultrafactorial prime. These begin: a(0)+1 = a(1)+1 = 2, a(2)-1 = 3, a(2)+1 = 5. Are there any more? Note that a(3) = 46657 = 13 * 37 * 97 is a 3-brilliant number. a(3)-5, a(3)-3 and a(3)+5 are semiprime; a(3)-7 and a(3)+7 are primes. - Jonathan Vos Post, Dec 09 2004

LINKS

Table of n, a(n) for n=0..4.

Eric Weisstein's World of Mathematics, Ultrafactorial.

MATHEMATICA

lst={}; Do[a=n!^n!; AppendTo[lst, a], {n, 6}]; lst (* Vladimir Joseph Stephan Orlovsky, Oct 01 2008 *)

CROSSREFS

Cf. A002109.

Cf. A000166, A000178, A002982.

Sequence in context: A173138 A275587 A132638 * A165812 A218405 A259492

Adjacent sequences:  A046879 A046880 A046881 * A046883 A046884 A046885

KEYWORD

nonn

AUTHOR

Camillo Lamonaca (Camillo.Lamonaca(AT)dva.gov.au)

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 23 08:36 EST 2019. Contains 320420 sequences. (Running on oeis4.)