%I A007524 M2196
%S A007524 3,0,1,0,2,9,9,9,5,6,6,3,9,8,1,1,9,5,2,1,3,7,3,8,8,9,4,7,2,4,4,9,3,0,2,
%T A007524 6,7,6,8,1,8,9,8,8,1,4,6,2,1,0,8,5,4,1,3,1,0,4,2,7,4,6,1,1,2,7,1,0,8,1,
%U A007524 8,9,2,7,4,4,2,4,5,0,9,4,8,6,9,2,7,2,5,2,1,1,8,1,8,6,1,7,2,0,4,0,6,8,4
%N A007524 Decimal expansion of log_10 2.
%C A007524 Log_10 (2) is the probability that 1 be first significant digit occurring 
               in data collections.(Benford's Law) - Lekraj Beedassy (blekraj(AT)yahoo.com), 
               Jan 21 2005
%D A007524 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A007524 T. Hill, "Manipulation, or the First Significant Numeral Determines the 
               Law", in 'La Recherche', No. 2 1999 pp. 72-76 (or No. 116 1999 pp. 
               72-75), Paris.
%D A007524 M. E. Lines, A Number For Your Thought, pp. 43-52 Institute of Physics 
               Pub. London 1990.
%D A007524 I. Stewart, L'univers des nombres, "1 est plus probable que 9", pp. 57-61, 
               Belin-Pour La Science, Paris 2000.
%H A007524 Harry J. Smith, <a href="b007524.txt">Table of n, a(n) for n=0,...,20000</
               a>
%H A007524 K. Brown, <a href="http://www.mathpages.com/home/kmath302/kmath302.htm">
               Benford's Law</a>
%H A007524 C. K. Caldwell, The Prime Glossary, <a href="http://primes.utm.edu/glossary/
               page.php/BenfordsLaw.html">Benford's law</a>
%H A007524 I. Gent & T. Walsh, <a href="http://www.dcs.st-and.ac.uk/~apes/reports/
               apes-25-2001.pdf">Benford's Law</a>
%H A007524 T. P. Hill, <a href="http://www.mccombs.utexas.edu/faculty/jonathan.koehler/
               docs/sta309h/Benford_1998.pdf">The first digital phenomenon</a>
%H A007524 T. P. Hill, <a href="http://www.math.gatech.edu/~hill/publications/cv.dir/
               1st-dig.pdf">The First-Digit Phenomenon</a>
%H A007524 T. P. Hill, <a href="http://www.math.gatech.edu/~hill/publications/cv.dir/
               1st-fig.pdf">The First-Digit Phenomenon(Accompanying Diagrams)</a>
%H A007524 R. Matthews, <a href="http://www.fortunecity.com/emachines/e11/86/one.html">
               The Power of One</a>
%H A007524 S. J. Miller, <a href="http://www.math.brown.edu/~sjmiller/math/handouts/
               BenfordTreatiseShort.pdf">Some Thoughts on benford's Law</a>
%H A007524 M. J. Nigrini, <a href="http://www.nigrini.com/Benford's_law.htm">Benford's 
               Law</a>
%H A007524 I. Peterson, Mathtrek, <a href="http://www.maa.org/mathland/mathtrek_6_29_98.html">
               First Digits</a>
%H A007524 L. Pietronero et al., <a href="http://arXiv.org/abs/cond-mat/9808305">
               Tne Uneven Distribution of Numbers in Nature</a>
%H A007524 S. Plouffe, <a href="http://www.worldwideschool.org/library/books/sci/
               math/MiscellaneousMathematicalConstants/chap57.html">The log10 of 
               2 to 2000 digits</a>
%H A007524 S. Plouffe, Plouffe's Inverter, <a href="http://pi.lacim.uqam.ca/piDATA/
               log102.txt">The LOG of 2(in base 10)</a>
%H A007524 J. Walthoe, <a href="http://plus.maths.org/issue9/features/benford">Looking 
               out for number one</a>
%H A007524 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               BenfordsLaw.html">Link to a section of The World of Mathematics</
               a>
%H A007524 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               MersenneNumber.html">Mersenne Number</a>
%H A007524 Wikipedia, <a href="http://en.wikipedia.org/wiki/Benford's_law">Benford's 
               law</a>
%e A007524 0.3010299956639811952137388947244930267681898814621085413104274611271...
%o A007524 (PARI) { default(realprecision, 20080); x=log(2)/log(10); d=0; for (n=0, 
               20000, x=(x-d)*10; d=floor(x); write("b007524.txt", n, " ", d)); 
               } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 15 2009]
%Y A007524 Sequence in context: A093684 A101270 A155522 this_sequence A109718 A053385 
               A035640
%Y A007524 Adjacent sequences: A007521 A007522 A007523 this_sequence A007525 A007526 
               A007527
%K A007524 nonn,cons
%O A007524 0,1
%A A007524 N. J. A. Sloane (njas(AT)research.att.com).
%E A007524 Definition corrected by Frank Adams-Watters (FrankTAW(AT)Netscape.net), 
               Apr 13 2006
%E A007524 Final digits of sequence corrected using the b-file. - N. J. A. Sloane, 
               Aug 30 2009