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<DIV>Seqfans, </DIV>
<DIV> My guess of the limit_{n-->oo}
a(n)/10^n for Eric's sequences,</DIV>
<DIV>"Number of decimal digits in the numerator of HarmonicNumber[10^n]"</DIV>
<DIV>> <A
href="http://www.research.att.com/projects/OEIS?Anum=A114467">http://www.research.att.com/projects/OEIS?Anum=A114467</A></DIV>
<DIV>and "Number of decimal digits in the denominator of
HarmonicNumber[10^n]"<BR>> <A
href="http://www.research.att.com/projects/OEIS?Anum=A114468">http://www.research.att.com/projects/OEIS?Anum=A114468</A><BR>>
0.434286...<BR> </DIV>
<DIV>is: Log[10, exp(1) ] = 0.434294481903251827651128918...</DIV>
<DIV> </DIV>
<DIV>Can someone prove this? </DIV>
<DIV> </DIV>
<DIV>Thanks,</DIV>
<DIV> Paul</DIV></BODY></HTML>