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Search: id:A002390
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| A002390 |
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Decimal expansion of natural logarithm of golden ratio.
(Formerly M3318 N1334)
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+0
20
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| 4, 8, 1, 2, 1, 1, 8, 2, 5, 0, 5, 9, 6, 0, 3, 4, 4, 7, 4, 9, 7, 7, 5, 8, 9, 1, 3, 4, 2, 4, 3, 6, 8, 4, 2, 3, 1, 3, 5, 1, 8, 4, 3, 3, 4, 3, 8, 5, 6, 6, 0, 5, 1, 9, 6, 6, 1, 0, 1, 8, 1, 6, 8, 8, 4, 0, 1, 6, 3, 8, 6, 7, 6, 0, 8, 2, 2, 1, 7, 7, 4, 4, 1, 2, 0, 0, 9, 4, 2, 9, 1, 2, 2, 7, 2, 3, 4, 7, 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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Also equals asinh(1/2).
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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).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
W. E. Mansell, Tables of Natural and Common Logarithms. Royal Society Mathematical Tables, Vol. 8, Cambridge Univ. Press, 1964, p. XVIII.
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LINKS
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S. Plouffe, Plouffe's Inverter, ln(phi) to 10000 digits
S. Plouffe, ln(0.5+0.5*SQRT(5)) to 2000 digits
Eric Weisstein's World of Mathematics, Fibonacci Hyperbolic Functions
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EXAMPLE
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.48121182505960344749775891342436842313518433438566051966101...
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MAPLE
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arcsinh(1/2);
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CROSSREFS
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Cf. A001622.
Sequence in context: A021875 A127734 A154520 this_sequence A122149 A021679 A134484
Adjacent sequences: A002387 A002388 A002389 this_sequence A002391 A002392 A002393
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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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