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

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A002488 a(n) = n^(n^n).
(Formerly M5031 N2171)
18
-1, 0, 1, 16, 7625597484987 (list; graph; refs; listen; history; text; internal format)
OFFSET

-1,4

COMMENTS

Regardless of whether one sets 0^0=1 or 0^0=0 we have a(0)=0.

Number of digits in terms n>3: 155 (n=4), 2185 (n=5), 36306 (n=6), 695975 (n=7), 15151336 (n=8)

This sequence can also be written as H_4(n,3) in standard hyperoperation notation or as (n "up-arrow"(2) 3) in Knuth up-arrow notation. For more info on hyperoperations see A054871.

First four terms in base 36 are 0, 1, g, 2pb5fusor. - Vladimir Joseph Stephan Orlovsky, Jun 15 2011

Next term in base 36 is 14PLKI42MDV1MT36I2RNAK3GINNT5VCX207HPUF9X0VJ6I1I7H29NU12WLS3ULFV1YYABI94UA3WAUAMSXZ4SNWV27FYA36HQDJ4. - Alonso del Arte, Jul 01 2012

0^^3 = 0 since 0^^k = 1 for even k, 0 for odd k, k >= 0. - Daniel Forgues, May 18 2013

REFERENCES

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=-1..3.

Hans Havermann, Next 5 terms

P. Rossier, Grands nombres, Elemente der Mathematik, 3 (1948), 20.

Eric Weisstein's World of Mathematics, Joyce Sequence

Wikipedia, Knuth's up-arrow notation

FORMULA

a(n) = H_4(n,3);

EXAMPLE

a(3) = H_4(3,3) = 3^3^3 = 3^27 = 7625597484987.

MAPLE

seq(n^(n^n), n=0..5); # Robert Israel, May 05 2015

MATHEMATICA

Table[If[n == 0, 0, n^n^n], {n, 0, 4}] (* Vladimir Joseph Stephan Orlovsky, Nov 01 2009 *)

PROG

(PARI) a(n)=n^n^n \\ Charles R Greathouse IV, Mar 10 2011

(Sage) [n^(n^n) for n in (-1..4)] # Bruno Berselli, May 03 2015

CROSSREFS

Cf. A002489, A054382.

Sequence in context: A058418 A291908 A059933 * A243776 A198631 A185685

Adjacent sequences:  A002485 A002486 A002487 * A002489 A002490 A002491

KEYWORD

sign,nice

AUTHOR

N. J. A. Sloane

EXTENSIONS

a(-1) prepended by Natan Arie' Consigli, May 02 2015

Hyperoperator notation by Natan Arie' Consigli, Jan 19 2016

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 November 23 00:33 EST 2017. Contains 295107 sequences.