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%I M0394 N0151 #46 May 15 2019 12:43:37
%S 2,3,0,2,5,8,5,0,9,2,9,9,4,0,4,5,6,8,4,0,1,7,9,9,1,4,5,4,6,8,4,3,6,4,
%T 2,0,7,6,0,1,1,0,1,4,8,8,6,2,8,7,7,2,9,7,6,0,3,3,3,2,7,9,0,0,9,6,7,5,
%U 7,2,6,0,9,6,7,7,3,5,2,4,8,0,2,3,5,9,9
%N Decimal expansion of natural logarithm of 10.
%D W. E. Mansell, Tables of Natural and Common Logarithms. Royal Society Mathematical Tables, Vol. 8, Cambridge Univ. Press, 1964, p. 2.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Harry J. Smith, <a href="/A002392/b002392.txt">Table of n, a(n) for n = 1..20000</a>
%H Bakir Farhi, <a href="http://arxiv.org/abs/0807.3518">A curious result related to Kempner's series</a>, arXiv:0807.3518 [math.NT], Jul 22 2008.
%H A. J. Kempner, <a href="http://www.jstor.org/stable/2972074">A curious convergent series</a>, Amer. Math. Monthly 23(1914)48-50.
%H Simon Plouffe, <a href="http://www.worldwideschool.org/library/books/sci/math/MiscellaneousMathematicalConstants/chap56.html">log(10) the natural logarithm of 10 to 2000 digits</a>
%H Simon Plouffe, Plouffe's Inverter, <a href="http://www.plouffe.fr/simon/constants/log10.txt">The natural logarithm of 10 to 2000 digits</a>
%H Horace S. Uhler, <a href="http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1078033/">Recalculation and extension of the modulus and of the logarithms of 2, 3, 5, 7 and 17</a>, Proc. Nat. Acad. Sci. U. S. A. 26, (1940). 205-212.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/NaturalLogarithmof10.html">Natural Logarithm of 10</a>
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%e 2.302585092994045684017991454684364207601101488628772976033327900967572...
%t RealDigits[Log[10],10,120][[1]] (* _Harvey P. Dale_, Nov 23 2013 *)
%o (PARI) default(realprecision, 20080); x=log(10); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b002392.txt", n, " ", d)); \\ _Harry J. Smith_, Apr 16 2009
%Y Cf. A016738 (continued fraction).
%K cons,nonn
%O 1,1
%A _N. J. A. Sloane_
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