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<DIV>It does seem unlikely.</DIV>
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<DIV>Is there a unique sequence that satisfies these two conditions? If so, I would think it a worthwhile thing to add to the OEIS. (If it's not there already - it might be A002547.)</DIV>
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<DIV>Franklin T. Adams-Watters<BR><BR>-----Original Message-----<BR>From: Paul D Hanna <A href="mailto:pauldhanna@juno.com">pauldhanna@juno.com</A><BR><BR>
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<DIV>Franklin, <BR> BTW, should *both* of those conditions continue to hold <BR>(I would be surprised), the next term is required to be: 42.<BR> <BR>Paul<BR> <BR>-- "Paul D Hanna" <pauldhanna@juno.com> wrote:<BR>Franklin (and seqfans),<BR> Perhaps this is just coincidence, <BR>but so far the g.f. A(x) of the terms<BR>> 1,1,1,2,4,7,13,24 <BR> <BR>satisfies these 2 relations: <BR> <BR>(1) A(x) = 1/A(-x*A(x))<BR> <BR>(2) x*A(x) = series_reversion(x*A(-x))<BR> <BR>It would be curious (since unlikely) if these trends continue.<BR><BR>Paul</DIV></DIV><!-- end of AOLMsgPart_2_0b8304b1-f591-48bf-b40c-ff5af258e7f0 --></DIV></DIV>
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