login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons 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)
8
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]

Named by Turner (1991) after the American electrical engineer and physicist Frank Albert Benford, Jr. (1883-1948). - Amiram Eldar, Jun 26 2021

REFERENCES

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=0..3.

C. W. Clenshaw, F. W. J. Olver and P. R. Turner, Level-index arithmetic: An introductory survey in: P. R. Turner (ed.), Numerical Analysis and Parallel Processing, Lecture Notes in Mathematics, Vol. 1397, Springer, Berlin, Heidelberg, 1989, pp. 95-168.

Peter R. Turner, Will the "real" real arithmetic please stand up?, Notices Amer. Math. Soc., Vol. 38 (1991), pp. 298-304; entire issue.

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 19 08:05 EDT 2021. Contains 347556 sequences. (Running on oeis4.)