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<TITLE>Re: Terms share no digit with their difference (2)</TITLE>
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<DIV dir=ltr><FONT color=#000000 size=2>|Jack]:</FONT></DIV>
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<DIV dir=ltr><FONT size=2>> The sequence can be infinite, correct?<BR>> 1,
3, 11, 33, 111, 333, 1111, 3333, ...</FONT></DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV><FONT size=2></FONT></DIV>
<DIV dir=ltr><FONT size=2>... waow, well done ;-)</FONT></DIV>
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<DIV dir=ltr><FONT size=2>> I suppose one might ask for the densest (or
slowest growing)<BR>> such infinite sequence...<BR></FONT></DIV>
<DIV dir=ltr><FONT size=2>... indeed !</FONT></DIV>
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<DIV dir=ltr><FONT size=2>Best,</FONT></DIV>
<DIV dir=ltr><FONT size=2>E.</FONT></DIV>
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<FONT size=2><B>De:</B> Jack Brennen [mailto:jb@brennen.net]<BR><B>Date:</B>
mar. 07/08/2007 19:13<BR><B>À:</B> seqfan@ext.jussieu.fr<BR><B>Objet :</B> Re:
Terms share no digit with their difference (2)<BR></FONT><BR></DIV>
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<P><FONT size=2>The sequence can be infinite, correct?<BR><BR>1, 3, 11, 33, 111,
333, 1111, 3333, ...<BR><BR>I suppose one might ask for the densest (or slowest
growing)<BR>such infinite sequence...<BR><BR><BR>Eric Angelini
wrote:<BR>> <BR>> The constraint is not complete:<BR>> The triplet
a, b and (a-b) shares no digit.<BR>> Sorry,<BR>> É.<BR>><BR>>
-------------------------------------------<BR>><BR>><BR>> Hello
seqFans,<BR>> What could be the longest seq. where two consecutive
terms<BR>> share no digit with their difference?<BR>><BR>> Some
examples of (too) short such seq.:<BR>><BR>> S: 1 3
5 7 9 11 20 END <BR>>
d: 2 2 2 2 2
9 <BR>><BR>> S: 2 3 4 5 6
7 8 9 11 33 41 63 71 93
101 END<BR>> d: 1 1 1 1 1
1 1 2 22 8 22 8
22 8<BR>><BR>> Best,<BR>>
É.<BR>><BR>><BR>><BR>><BR><BR></FONT></P></DIV>
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