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A002488 n^(n^n), with a(0) = 0 by convention.
(Formerly M5031 N2171)
9
0, 1, 16, 7625597484987 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

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 (n↑↑3) in Knuth up-arrow notation.

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

REFERENCES

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

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

Hans Havermann, Next 5 terms

Eric Weisstein's World of Mathematics, Joyce Sequence

Wikipedia, Knuth's up-arrow notation

MATHEMATICA

Table[If[n==0, 0, n^n^n], {n, 0, 4}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 01 2009]

PROG

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

CROSSREFS

Cf. A002489, A054382.

Sequence in context: A013878 A058418 A059933 * A198631 A185685 A144692

Adjacent sequences:  A002485 A002486 A002487 * A002489 A002490 A002491

KEYWORD

nonn,nice,bref,changed

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 9 00:19 EST 2012. Contains 205166 sequences.