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A020857
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Decimal expansion of log_2(3).
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8
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1, 5, 8, 4, 9, 6, 2, 5, 0, 0, 7, 2, 1, 1, 5, 6, 1, 8, 1, 4, 5, 3, 7, 3, 8, 9, 4, 3, 9, 4, 7, 8, 1, 6, 5, 0, 8, 7, 5, 9, 8, 1, 4, 4, 0, 7, 6, 9, 2, 4, 8, 1, 0, 6, 0, 4, 5, 5, 7, 5, 2, 6, 5, 4, 5, 4, 1, 0, 9, 8, 2, 2, 7, 7, 9, 4, 3, 5, 8, 5, 6, 2, 5, 2, 2, 2, 8, 0, 4, 7, 4, 9, 1, 8, 0, 8, 8, 2, 4
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OFFSET
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1,2
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COMMENTS
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The fractional part of the binary logarithm of 3 * 2^n (A007283) is the same as that of this number (e.g., log_2 192 = 7.5849625...). Furthermore, a necessary but not sufficient condition for a number to be Fibbinary (A003714) is that the fractional part of its binary logarithm does not exceed that of this number. - Alonso del Arte, Jun 22 2012
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LINKS
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Table of n, a(n) for n=1..99.
E. G. Dunne, Pianos and Continued Fractions
_Simon Plouffe_, Plouffe's Inverter, log(3)/log(2) to 10000 digits
Eric Weisstein's World of Mathematics, Stolarsky-Harborth Constant
Eric Weisstein's World of Mathematics, Pascal's Triangle
Eric Weisstein's World of Mathematics, Sierpinski Sieve
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EXAMPLE
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log_2 3 = 1.5849625007211561814537389439...
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MATHEMATICA
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RealDigits[Log[2, 3], 10, 100][[1]] (* Alonso del Arte, Jun 22 2012 *)
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CROSSREFS
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Cf. A005663, A005664, A028507.
Sequence in context: A021635 A021175 A011095 * A096413 A222591 A186691
Adjacent sequences: A020854 A020855 A020856 * A020858 A020859 A020860
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KEYWORD
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nonn,cons
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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