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<DIV>Seqfans, <BR> Here is nice problem that
may interest you: </DIV>
<DIV>-------------------------------------------------- </DIV>
<DIV>Find the unique integer function A(x) that satisfies: </DIV>
<DIV>A = 1 + xAB <BR>B = 1 + xABC <BR>C = 1 + xABCD <BR>D = 1 + xABCDE <BR>E = 1
+ xABCDEF <BR>F = 1 + xABCDEFG </DIV>
<DIV>...</DIV>
<DIV>The above nested relation continues on to infinity, </DIV>
<DIV>where B(x), C(x), D(x), ... are also integer functions.
<DIV>-------------------------------------------------- </DIV> </DIV>
<DIV>If my answer is correct, the solution to A is quite unexpected, </DIV>
<DIV>and is in the OEIS as one of <FONT face="Courier New">Christian
Bower's nice sequences</FONT>. </DIV>
<DIV>But I would like someone to confirm my results. </DIV>
<DIV> </DIV>
<DIV>The complete answer would make for a nice rectangular table </DIV>
<DIV>where the coefficients of each function A,B,C,... form the rows.
</DIV>
<DIV> </DIV>
<DIV>Thanks, <BR> Paul </DIV></BODY></HTML>