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<TITLE>problem with Jeux de suites in A139334</TITLE>
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<DIV dir=ltr><FONT color=#000000 size=2>Hello Richard and SeqFans,</FONT></DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV>
<DIV dir=ltr><FONT size=2>[You, Richard]</FONT></DIV>
<DIV dir=ltr><FONT size=2>> The problem that arises is: the next difference,
a139334(12)</FONT></DIV>
<DIV dir=ltr><FONT size=2>requires a leading 0 to match the final 0 in a(8)=340;
this </FONT></DIV>
<DIV dir=ltr><FONT size=2>cannot be included in the OEIS.<BR></FONT></DIV>
<DIV dir=ltr><FONT size=2>[Me]<BR>... yes, an integer with a leading 0 is
forbidden in the OEIS --</FONT></DIV>
<DIV dir=ltr><FONT size=2>this means that one has to find the smallest number
not producing</FONT></DIV>
<DIV dir=ltr><FONT size=2>an integer having a leading zero -- but still
fulfilling the other</FONT></DIV>
<DIV dir=ltr><FONT size=2>criterias, which are:</FONT></DIV>
<DIV dir=ltr><FONT size=2>- concatenation of digits (of S) is the same string as
concatenation</FONT></DIV>
<DIV dir=ltr><FONT size=2>of </FONT><FONT size=2>digits of S's first
differences,</FONT></DIV>
<DIV dir=ltr><FONT size=2>- and sequence S and first differences of
S </FONT><FONT size=2>have no term in common. </FONT></DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV>
<DIV dir=ltr><FONT size=2>If you put 34 (in the "first differences" seq
A139334) the problem</FONT></DIV>
<DIV dir=ltr><FONT size=2>arises, as you mention; so put 3403 instead, et voilą
!:</FONT></DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV>
<DIV dir=ltr><FONT size=2>[You]</FONT></DIV>
<DIV dir=ltr><FONT size=2>2, 24, 28, 311, 312, 325, 337, 340, 365, 398, 405,
439,...<BR>with the first differences A139334:<BR> 22, 4, 283,
1, 13, 12, 3, 25, 33,
7, 34,...</FONT></DIV>
<DIV dir=ltr><BR><FONT size=2>[Me]</FONT></DIV>
<DIV dir=ltr>
<DIV dir=ltr><FONT size=2>2, 24, 28, 311, 312, 325, 337, 340, 365, 398,
405, 3808,...<BR>with the first differences A139334:<BR> 22, 4,
283, 1, 13, 12, 3, 25,
33, 7, 3403,...</FONT></DIV></DIV></DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV>
<DIV dir=ltr><FONT size=2>Best,</FONT></DIV>
<DIV dir=ltr><FONT size=2>Eric A.</FONT></DIV>
<DIV dir=ltr><FONT size=2><BR></FONT> </DIV>
<DIV dir=ltr><FONT size=2>
<HR tabIndex=-1>
</FONT></DIV>
<DIV dir=ltr><FONT size=2><B>De:</B> Richard Mathar
[mailto:mathar@strw.leidenuniv.nl]<BR><B>Date:</B> ven. 18/07/2008
21:12<BR><B>Ą:</B> seqfan@ext.jussieu.fr<BR><B>Objet :</B> problem with Jeux de
suites in A139334<BR><BR></FONT></DIV>
<DIV><BR>
<P><FONT size=2>If the sequence A139334 is continued following the rules in the
definition, we get:<BR>2, 24, 28, 311, 312, 325, 337, 340, 365, 398, 405,
439,...<BR>with the first differences A139334:<BR> 22, 4, 283,
1, 13, 12, 3, 25, 33,
7, 34,..<BR>The problem that arises is: the next difference, a139334(12)
requires a leading 0<BR>to match the final 0 in a(8)=340; this cannot be
included in the OEIS.<BR><BR>I have no access to the Angelini article and cannot
say how it works around
that<BR>case.<BR><BR>Richard<BR></FONT></P></DIV>
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