|
| |
|
|
A007676
|
|
Numerators of convergents to e.
(Formerly M0869)
|
|
13
| |
|
|
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, 534625820200, 563501581931, 1098127402131, 22526049624551
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Same as A113873 without its first two terms. - Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Aug 16 2006
|
|
|
REFERENCES
| 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.
|
|
|
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
|
|
|
MAPLE
| Digits := 60: convert(evalf(E), confrac, 50, 'cvgts'): cvgts;
|
|
|
MATHEMATICA
| Numerator[Convergents[E, 30]] (* T. D. Noe, Oct 12 2011 *)
|
|
|
CROSSREFS
| Cf. A007677.
Sequence in context: A041893 A206241 A113873 * A042443 A042263 A153439
Adjacent sequences: A007673 A007674 A007675 * A007677 A007678 A007679
|
|
|
KEYWORD
| nonn,easy,nice,frac
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
|
| |
|
|
