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A007677
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Denominators of convergents to e.
(Formerly M2343)
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16
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1, 1, 3, 4, 7, 32, 39, 71, 465, 536, 1001, 8544, 9545, 18089, 190435, 208524, 398959, 4996032, 5394991, 10391023, 150869313, 161260336, 312129649, 5155334720, 5467464369, 10622799089, 196677847971, 207300647060, 403978495031, 8286870547680, 8690849042711
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Same as A113874 without its first two terms. - Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Aug 16 2006
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REFERENCES
| E. B. Burger, Diophantine Olympics ..., Amer. Math. Monthly, 107 (Nov. 2000), 822-829.
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
| T. D. Noe, Table of n, a(n) for n=1..200
J. Sondow, A geometric proof that e is irrational and a new measure of its irrationality
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
| Digits := 60: E := exp(1); convert(evalf(E), confrac, 50, 'cvgts'): cvgts;
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MATHEMATICA
| Denominator[Convergents[E, 40]] (* T. D. Noe, Oct 12 2011 *)
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CROSSREFS
| Cf. A007676.
Sequence in context: A041091 A117764 A113874 * A042773 A042173 A046461
Adjacent sequences: A007674 A007675 A007676 * A007678 A007679 A007680
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KEYWORD
| nonn,easy,nice,frac
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
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