<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"><HTML DIR=ltr><HEAD><META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=iso-8859-1"></HEAD><BODY><DIV><FONT face="Courier New" color=#000000 size=2>Hello SeqFans,</FONT></DIV>
<DIV><FONT face="Courier New" size=2></FONT> </DIV>
<DIV><FONT face="Courier New" size=2>based on an equivalent idea and
building rule as A121053,</FONT></DIV>
<DIV><FONT face="Courier New" size=2>here is a sequence I would appreciate
someone to check,</FONT></DIV>
<DIV><FONT face="Courier New" size=2>define properly in good mathematical
english, and submit</FONT></DIV>
<DIV><FONT face="Courier New"><FONT size=2>to the OEIS -- if of interest (I'll
be back at </FONT><FONT size=2>my PC in</FONT></FONT></DIV>
<DIV><FONT face="Courier New"><FONT size=2>two weeks time -- </FONT></FONT><FONT
face="Courier New" size=2>and will do it myself if no one moves ;-)</FONT></DIV>
<DIV><FONT face="Courier New" size=2></FONT> </DIV>
<DIV><FONT face="Courier New" size=2>a(n) says : "At position a(n) in S you will
find the sum</FONT></DIV>
<DIV><FONT face="Courier New" size=2>of all </FONT><FONT face="Courier New"
size=2>terms from a(1) to a(n)"</FONT></DIV>
<DIV><FONT face="Courier New" size=2></FONT> </DIV>
<DIV><FONT face="Courier New" size=2>S should be (computed by hand)
:</FONT></DIV>
<DIV><FONT face="Courier New" size=2></FONT> </DIV>
<DIV><FONT face="Courier New"
size=2>1,3,4,8,6,22,9,16,53,11,133,13,279,15,573,69,18,1233,20,</FONT></DIV>
<DIV><FONT face="Courier New"
size=2>2486,23,44,4995,25,10059,27,20145,29,40319,31,80669,33,</FONT></DIV>
<DIV><FONT face="Courier New"
size=2>161371,35,322777,37,645591,39,12911221,41,25822483,43,</FONT></DIV>
<DIV><FONT face="Courier New" size=2>51645009,5039,103295057,47,...</FONT></DIV>
<DIV><FONT face="Courier New" size=2></FONT> </DIV>
<DIV><FONT face="Courier New" size=2>S reads (from the
beginning) :</FONT></DIV>
<DIV><FONT face="Courier New" size=2>- at position 1 there is the sum of all
previously written terms [indeed, nil + 1=1]</FONT></DIV>
<DIV><FONT size=2>
<DIV><FONT face="Courier New" size=2>- at position 3 there is the sum of
all previously written terms [indeed, 1+ 3=4]</FONT></DIV></FONT><FONT
size=2></FONT></DIV>
<DIV><FONT size=2>
<DIV><FONT face="Courier New" size=2>- at position 4 there is the sum of
all previously written terms [indeed, 1+3+4=8]</FONT></DIV>
<DIV>
<DIV><FONT face="Courier New" size=2>- at position 8 there is the sum of
all previously written terms [indeed, 1+3+4+8=16]</FONT></DIV>
<DIV>
<DIV><FONT face="Courier New" size=2>- at position 6 there is the sum of
all previously written terms [indeed, 1+3+4+8+6=22]</FONT></DIV>
<DIV><FONT size=2>
<DIV><FONT face="Courier New" size=2>- at position 22 there is the sum of
all previously written terms [indeed, 1+3+4+8+6+22=44 and 44 is the 22nd term of
S]</FONT></DIV>
<DIV><FONT face="Courier New">etc.</FONT></DIV>
<DIV><FONT face="Courier New"></FONT> </DIV>
<DIV><FONT face="Courier New">Best,</FONT></DIV>
<DIV><FONT face="Courier New">É.</FONT></DIV>
<DIV><FONT face="Courier New">(this seq. increases pretty fast sometimes -- then
falls back to n+1...)</FONT></DIV></FONT></DIV></DIV></FONT></DIV></DIV>
<DIV><FONT face="Courier New" size=2></FONT> </DIV>
<DIV><FONT face="Courier New" size=2></FONT> </DIV>
<DIV><FONT face="Courier New" size=2></FONT> </DIV></BODY></HTML>