$|++;my($a,$b,
       $c)=(0,sub{$a+=2;$a-2?$
    a%3?$|:$            a/3:$a},
  sub{my($                 a,$b,$c
 ,$d,$f)                    =(10,0,
 0,1,@_)                     ;sub{my
($e,$g);until($b&&$d&&($e=int($a/$b))
==int($c/$d)){$e=$f->();$g=$a;$a=$c;(
$c*=$e)+=$g;$g=$b;$b=$d;($d*=$e)+=$g}
$g=$a;$
 a=$b;($
 b*=-$e)
  +=$g;$g                     =$c;$c
   =$d;($d*=               -$e)+=$
      g;$e}});while(1){print$b->
           ();$b=$c->($b)}#e

[download]

Thanks to Anonymous Subroutines for inspiration.

Update: Thanks also to tachyon for formatting tips (Re: e with continued fractions).

In reply to e with c.f. and closures by jdalbec

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.