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Search: id:A007524
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| A007524 |
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Decimal expansion of log_10 2.
(Formerly M2196)
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+0
4
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| 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, 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, 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
(list; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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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
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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.
M. E. Lines, A Number For Your Thought, pp. 43-52 Institute of Physics Pub. London 1990.
I. Stewart, L'univers des nombres, "1 est plus probable que 9", pp. 57-61, Belin-Pour La Science, Paris 2000.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,20000
K. Brown, Benford's Law
C. K. Caldwell, The Prime Glossary, Benford's law
I. Gent & T. Walsh, Benford's Law
T. P. Hill, The first digital phenomenon
T. P. Hill, The First-Digit Phenomenon
T. P. Hill, The First-Digit Phenomenon(Accompanying Diagrams)
R. Matthews, The Power of One
S. J. Miller, Some Thoughts on benford's Law
M. J. Nigrini, Benford's Law
I. Peterson, Mathtrek, First Digits
L. Pietronero et al., Tne Uneven Distribution of Numbers in Nature
S. Plouffe, The log10 of 2 to 2000 digits
S. Plouffe, Plouffe's Inverter, The LOG of 2(in base 10)
J. Walthoe, Looking out for number one
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics
Eric Weisstein's World of Mathematics, Mersenne Number
Wikipedia, Benford's law
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EXAMPLE
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0.3010299956639811952137388947244930267681898814621085413104274611271...
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PROGRAM
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(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]
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CROSSREFS
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Sequence in context: A093684 A101270 A155522 this_sequence A109718 A053385 A035640
Adjacent sequences: A007521 A007522 A007523 this_sequence A007525 A007526 A007527
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KEYWORD
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nonn,cons
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Definition corrected by Frank Adams-Watters (FrankTAW(AT)Netscape.net), Apr 13 2006
Final digits of sequence corrected using the b-file. - N. J. A. Sloane, Aug 30 2009
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