Search: id:A007676
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%I A007676 M0869
%S A007676 2,3,8,11,19,87,106,193,1264,1457,2721,23225,25946,49171,
%T A007676 517656,566827,1084483,13580623,14665106,28245729,410105312,
%U A007676 438351041,848456353,14013652689,14862109042,28875761731
%N A007676 Numerators of convergents to e.
%C A007676 Same as A113873 without its first two terms. - Jonathan Sondow (jsondow(AT)alumni.princeton.edu), 
               Aug 16 2006
%D A007676 CRC Standard Mathematical Tables and Formulae, 30th ed. 1996, p. 88.
%D A007676 W. J. LeVeque, Fundamentals of Number Theory. Addison-Wesley, Reading, 
               MA, 1977, p. 240.
%D A007676 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A007676 J. Sondow, A geometric proof that e is irrational and a new measure of 
               its irrationality, Amer. Math. Monthly 113 (2006) 637-641.
%H A007676 T. D. Noe, <a href="b007676.txt">Table of n, a(n) for n=1..200</a>
%H A007676 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               e.html">Link to a section of The World of Mathematics.</a>
%H A007676 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               SultansDowryProblem.html">Sultan's Dowry Problem</a>
%p A007676 Digits := 60: convert(evalf(E),confrac,50,'cvgts'): cvgts;
%t A007676 Table[FromContinuedFraction[ContinuedFraction[ \[ExponentialE], i]], 
               {i, 30}]//Numerator
%Y A007676 Cf. A007677.
%Y A007676 Sequence in context: A112595 A041075 A041893 this_sequence A113873 A042443 
               A042263
%Y A007676 Adjacent sequences: A007673 A007674 A007675 this_sequence A007677 A007678 
               A007679
%K A007676 nonn,easy,nice,frac
%O A007676 1,1
%A A007676 N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)

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