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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A004002 Benford numbers: a(n)=e^e^...^e (n times) rounded to nearest integer.
(Formerly M3010)
9
1, 3, 15, 3814279 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The next term, a(4) ~ 2.3315*10^1656520, has 1656521 decimal digits and is therefore too large to be included. [Rephrased by M. F. Hasler, May 01 2013]

REFERENCES

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

P. R. Turner, Will the "real" real arithmetic please stand up?, Notices Amer. Math. Soc., 38 (1991), 298-304.

LINKS

Table of n, a(n) for n=0..3.

Index entries for sequences related to Benford's law (The present sequence seems unrelated to Benford's law!)

FORMULA

a(n) = round(e^e^...^e), where e occurs n times, a(0) = 1 (= e^0). - Melissa O'Neill, Jul 04 2015

MATHEMATICA

Round[NestList[Power[E, #] &, 1, 3]] (* Melissa O'Neill, Jul 04 2015 *)

CROSSREFS

Cf. A056072, A225053.

Cf. A073236. - Melissa O'Neill, Jul 04 2015

Sequence in context: A202380 A290610 A134807 * A216149 A194604 A078355

Adjacent sequences:  A003999 A004000 A004001 * A004003 A004004 A004005

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

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 August 23 03:42 EDT 2017. Contains 290958 sequences.