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<TITLE>Avoiding misidentified comments/extensions: idea</TITLE>
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<DIV id=idOWAReplyText73583 dir=ltr>
<DIV dir=ltr><FONT face=Arial color=#000000 size=2></FONT> </DIV>
<DIV dir=ltr><FONT size=2>Hello SeqFans,</FONT></DIV>
<DIV dir=ltr><FONT size=2>I was wondering: do sequences which have a different
start than A005228 converge to said A005228?</FONT></DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV>
<DIV dir=ltr><FONT size=2>Here is A005228 (first diff. below):</FONT></DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV>
<DIV dir=ltr><FONT size=2>1, 3, 7, 12, 18, 26, 35, 45, 56, 69, 83, 98, 114, 131,
150, 170, 191, 213</FONT></DIV>
<DIV dir=ltr><FONT size=2> 2 4 5 6
8 9 10 11 13 14 15
16 17 19 20 21
22</FONT></DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV>
<DIV dir=ltr><FONT size=2>If we start with "2" (instead of "1") the new seq
converges immediately:</FONT></DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV>
<DIV dir=ltr>
<DIV dir=ltr><FONT size=2>2, 3, 7, 12, 18, 26, 35, 45, 56, 69, 83, 98, 114, 131,
150, 170, 191, 213</FONT></DIV>
<DIV dir=ltr><FONT size=2> 1 4 5
6 8 9 10 11 13 14 15
16 17 19 20 21
22</FONT></DIV></DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV>
<DIV dir=ltr><FONT size=2>But what about starting with "3":</FONT></DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV>
<DIV dir=ltr><FONT size=2>3, 4, 6, 11, 18, 26, 35, 45, 57, 70, 84, 99, 115, 132,
151, 171, ... ?</FONT></DIV>
<DIV dir=ltr><FONT size=2> 1 2 5 7
8 9 10 12 13 14 15
16 17 19 20 21</FONT></DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV>
<DIV dir=ltr><FONT size=2>If someone knows a general paper on those
"Hofstadter-like" sequences, </FONT></DIV>
<DIV dir=ltr><FONT size=2>I would be pleased to read more -- I'm not sure there
is something like</FONT></DIV>
<DIV dir=ltr><FONT size=2>that here : </FONT></DIV>
<DIV dir=ltr><A
href="http://www.research.att.com/~njas/sequences/Sindx_Ho.html#Hofst"><FONT
size=2>http://www.research.att.com/~njas/sequences/Sindx_Ho.html#Hofst</FONT></A></DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV>
<DIV dir=ltr><FONT size=2>Best,</FONT></DIV>
<DIV dir=ltr><FONT size=2>E.</FONT></DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV>
<DIV dir=ltr><FONT size=2></FONT> </DIV></DIV>
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