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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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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.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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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