%I A097345
%S A097345 1,5,29,103,887,1517,18239,63253,332839,118127,2331085,4222975,
%T A097345 100309579,184649263,1710440723,6372905521,202804884977,381240382217,
%U A097345 13667257415003,25872280345103,49119954154463,93501887462903
%N A097345 Numerators of the partial sums of the binomial transform of 1/(n+1).
%C A097345 Is this identical to A097344? - Aaron Gulliver, Jul 19 2007. The answer 
               turns out to be No - see A134652.
%C A097345 From n=9 on, the putative formula a(n)=A003418(n+1)*sum{k=0..n, (2^(k+1)-1)/
               (k+1)} is false. The least n for which a(n) is different from A097344(n) 
               is n=59, then they agree again until n=1519. - M. F. Hasler, Jan 
               25 2008
%H A097345 R. J. Mathar, <a href="a097345.pdf">Notes on an attempt to prove that 
               A097344 and A097345 are identical</a>
%o A097345 (PARI) A097345(n) = numerator(sum(k=0,n,(2^(k+1)-1)/(k+1)))
%Y A097345 Cf. A097344, A134652.
%Y A097345 Sequence in context: A050409 A111937 A139856 this_sequence A097344 A153076 
               A034700
%Y A097345 Adjacent sequences: A097342 A097343 A097344 this_sequence A097346 A097347 
               A097348
%K A097345 easy,nonn,frac
%O A097345 0,2
%A A097345 Paul Barry (pbarry(AT)wit.ie), Aug 06 2004
%E A097345 Edited and corrected by Daniel Glasscock (glasscock(AT)rice.edu), Jan 
               04 2008 and M. F. Hasler (Maximilian.Hasler(AT)gmail.com), Jan 25 
               2008