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 A007524 Decimal expansion of log_10 2. (Formerly M2196) 27
 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; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Log_10 (2) is the probability that 1 be first significant digit occurring in data collections (Benford's law). - Lekraj Beedassy, Jan 21 2005 When adding two sound power sources of x decibels, the resulting sound power is x + 10*log_10(2), that is x + 3.01... decibels. [Jean-François Alcover, Jun 21 2013] In engineering (all branches, but particularly electronic and electrical) power and amplitude ratios are measured rigorously in decibels (dB). This constant, with offset 1 (i.e., 3.01... = 10*A007524) is the dB equivalent of a 2:1 power ratio or, equivalently, sqrt(2):1 amplitude ratio. - Stanislav Sykora, Dec 11 2013 REFERENCES 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. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). I. Stewart, L'univers des nombres, "1 est plus probable que 9", pp. 57-61, Belin-Pour La Science, Paris 2000. LINKS 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 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., The Uneven Distribution of Numbers in Nature Simon Plouffe, The log10 of 2 to 2000 digits Simon Plouffe, The LOG of 2(in base 10) J. Walthoe, Looking out for number one Eric Weisstein's World of Mathematics, Benford's Law Eric Weisstein's World of Mathematics, Mersenne Number Wikipedia, Benford's law Wikipedia, Decibel FORMULA log_10(2) = log(2)/log(10) = log(2)/(log(2) + log(5)). EXAMPLE 0.3010299956639811952137388947244930267681898814621085413104274611271... MATHEMATICA RealDigits[Log[10, 2], 10, 120][] (* Harvey P. Dale, Dec 19 2011 *) PROG (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)); } \\ Harry J. Smith, Apr 15 2009 CROSSREFS Cf. decimal expansion of log_10(m): this sequence, A114490 (m = 3), A114493 (m = 4), A153268 (m = 5), A153496 (m = 6), A153620 (m = 7), A153790 (m = 8), A104139 (m = 9),  A154182 (m = 11), A154203 (m = 12), A154368 (m = 13), A154478 (m = 14), A154580 (m = 15), A154794 (m = 16), A154860 (m = 17), A154953 (m = 18), A155062 (m = 19), A155522 (m = 20), A155677 (m = 21), A155746 (m = 22), A155830 (m = 23), A155979 (m = 24). Sequence in context: A093684 A101270 A155522 * A204689 A109718 A053385 Adjacent sequences:  A007521 A007522 A007523 * A007525 A007526 A007527 KEYWORD nonn,cons AUTHOR EXTENSIONS Definition corrected by Franklin T. Adams-Watters, Apr 13 2006 Final digits of sequence corrected using the b-file. - N. J. A. Sloane, Aug 30 2009 STATUS approved

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Last modified October 13 22:17 EDT 2019. Contains 327982 sequences. (Running on oeis4.)