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<DIV><FONT face=Arial size=2>nice work and nice show, Eric .</FONT></DIV>
<DIV> </DIV>
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<DIV><A
href="http://www.echolalie.com/gbnums">http://www.echolalie.com/gbnums</A></DIV>
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style="PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
<DIV style="FONT: 10pt arial">----- Original Message ----- </DIV>
<DIV
style="BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: black"><B>From:</B>
<A title=Eric.Angelini@kntv.be href="mailto:Eric.Angelini@kntv.be">Eric
Angelini</A> </DIV>
<DIV style="FONT: 10pt arial"><B>To:</B> <A title=seqfan@ext.jussieu.fr
href="mailto:seqfan@ext.jussieu.fr">seqfan@ext.jussieu.fr</A> </DIV>
<DIV style="FONT: 10pt arial"><B>Sent:</B> Saturday, May 03, 2008 5:50
PM</DIV>
<DIV style="FONT: 10pt arial"><B>Subject:</B> 10-digit clock sequence</DIV>
<DIV><BR></DIV>
<P>Hello SeqFans,</P>
<P>Remember this 10-digit clock ?</P>
<P><FONT
size=2>>
0<BR>>
9 *
1<BR>>
*
*<BR>><BR>> 8
*
*
2<BR>>
.<BR>><BR>> 7
*
* 3<BR>><BR>>
*
*<BR>>
6 *
4<BR>>
5<BR><BR>
+<BR>
734<BR><BR></FONT>This clock is used as a compass to draw the landing
point of any integer somewhere on the plane, like in this example: take the
integer 734 and put it at the center of the clock (coordinates 0,0); now go
one step-unit in direction 7, then one step-unit in direction 3, then one
step-unit in direction 4: you'll land on the cross, above (under the
4-digit). This spot is the landing point of 734 -- but also of 347, 473, and
(infinitely) many more, as you'll notice quickly.</P>
<P>I have asked Jean-Marc Falcoz, a friend of mine, to compute the sequence of
integers hitting a free point on the plane (so 21 is not in the sequence
because 21 lands on an already existing point -- the one drawn by 12); the
sequence starts like this (soon to appear in the OEIS, Neil accepting):</P>
<P>S=0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,28,29,30,33,34,35,36,37,39,40,44,45,46,47,48,55,56,57,58,59,60,66,67,68,69,70,77,78,79,80,88,89,90,99,100,101,102,...</P>
<P>Jean-Marc has drawn the resulting figure, step by step (sorry for the twice
printed link, this is a bug in my PC which I have not fixed -- yet):</P>
<P><A
href="http://membres.lycos.fr/aideciste/prim100opt.gif">http://membres.lycos.fr/aideciste/prim100opt.gif</A></P>
<P>The same compass is used to draw the path of Pi, e, SQR2, etc. here (page
in french): </P>
<P><A
href="http://www.cetteadressecomportecinquantesignes.com/Falcoz4.htm">http://www.cetteadressecomportecinquantesignes.com/Falcoz4.htm</A></P>
<P>Best,</P>
<P>E.</P></BLOCKQUOTE></BODY></HTML>