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Search: id:A007676
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| A007676 |
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Numerators of convergents to e.
(Formerly M0869)
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+0
13
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| 2, 3, 8, 11, 19, 87, 106, 193, 1264, 1457, 2721, 23225, 25946, 49171, 517656, 566827, 1084483, 13580623, 14665106, 28245729, 410105312, 438351041, 848456353, 14013652689, 14862109042, 28875761731
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Same as A113873 without its first two terms. - Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Aug 16 2006
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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).
CRC Standard Mathematical Tables and Formulae, 30th ed. 1996, p. 88.
W. J. LeVeque, Fundamentals of Number Theory. Addison-Wesley, Reading, MA, 1977, p. 240.
J. Sondow, A geometric proof that e is irrational and a new measure of its irrationality, Amer. Math. Monthly 113 (2006) 637-641.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..200
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Eric Weisstein's World of Mathematics, Sultan's Dowry Problem
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MAPLE
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Digits := 60: convert(evalf(E), confrac, 50, 'cvgts'): cvgts;
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MATHEMATICA
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Table[FromContinuedFraction[ContinuedFraction[ \[ExponentialE], i]], {i, 30}]//Numerator
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CROSSREFS
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Cf. A007677.
Sequence in context: A112595 A041075 A041893 this_sequence A113873 A042443 A042263
Adjacent sequences: A007673 A007674 A007675 this_sequence A007677 A007678 A007679
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KEYWORD
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nonn,easy,nice,frac
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
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