Search: id:A054382
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%I A054382
%S A054382 1,2,13,155,2185,36306,695975,15151336,369693100,10000000001,
%T A054382 297121486765,9622088391635,337385711567665,12735782555419983,
%U A054382 515003176870815368,22212093154093428530,1017876887958723919835,49390464231494436119285
%N A054382 James Joyce's "Ulysses" sequence: number of digits in n^(n^n).
%C A054382 Although Joyce mentions (9^9)^9, he clearly intended to refer to 9^(9^9).
%C A054382 (9^9)^9 is only 196627050475552913618075908526912116283103450944214766927315415537966391196809, 
               whereas 9^(9^9) has 369693100 digits.
%D A054382 C. A. Laisant (1906) proved that the number of digits of a(9), 9^9^9, 
               is 369693100. H. S. Uhler (1947) published the log of the number 
               to 250 decimal places.
%D A054382 David Wells: The Penguin Dictionary of Curious and Interesting Numbers. 
               Penguin Books, 1986, p. 208.
%H A054382 J. Joyce, <a href="http://www.edunet.ie/books/ulysses/ithaca.html">Ulysses, 
               Ithaca chapter</a>
%H A054382 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               JoyceSequence.html">Link to a section of The World of Mathematics.</
               a>
%H A054382 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               SultansDowryProblem.html">Link to a section of The World of Mathematics.</
               a>
%H A054382 H. Havermann, <a href="http://chesswanks.com/seq/n^n^n/9^9^9/">9^9^9, 
               in 33 volumes</a>.
%e A054382 "Because some years previously in 1886 when occupied with the problem
%e A054382 of the quadrature of the circle he had learned of the existence of a
%e A054382 number computed to a relative degree of accuracy to be of such
%e A054382 magnitude and of so many places, e.g. the 9th power of the 9th power
%e A054382 of 9, that, the result having been obtained, 33 closely printed volumes
%e A054382 of 1000 pages each of innumerable quires and reams of India paper would
%e A054382 have to be requisitioned in order to contain the complete tale of its
%e A054382 printed integers of units, tens, hundreds, thousands, tens of
%e A054382 thousands, hundreds of thousands, millions, tens of millions, hundreds
%e A054382 of millions, billions, the nucleus of the nebula of every digit of
%e A054382 every series containing succinctly the potentiality of being raised
%e A054382 to the utmost kinetic elaboration of any power of any of its powers".
%e A054382 James Joyce, Ulysses, Chapter 17.
%t A054382 f[ j_ ] := 1 + Floor[ Log[10, j] j^j ]; Table[ f[j], {j, 2, 20} ]
%Y A054382 Sequence in context: A059367 A069736 A058192 this_sequence A062593 A014507 
               A132614
%Y A054382 Adjacent sequences: A054379 A054380 A054381 this_sequence A054383 A054384 
               A054385
%K A054382 nonn,base
%O A054382 0,2
%A A054382 Antreas P. Hatzipolakis (xpolakis(AT)otenet.gr), May 07 2000
%E A054382 More terms from Michael Kleber (michael.kleber(AT)gmail.com), May 07 
               2000.

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