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
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
MAPLE
p:= n-> `if`(n=0, 1, exp(1)^p(n-1)):
a:= n-> round(p(n)):
seq(a(n), n=0..3); # Alois P. Heinz, Jul 20 2024
MATHEMATICA
Round[NestList[Power[E, #] &, 1, 3]] (* Melissa O'Neill, Jul 04 2015 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved