EDITED A097345

[Maximilian Hasler]

quite interesting : in addition to the link to Mathar's PDF, the
formula and most terms of this sequence also were wrong,
but by correcting it, it seems that again A097345(n)=A097344(n) except
for very few cases
(n=59, no other until n=1519,... I suspected a bug in my beta version of PARI,
but maple confirmed the first value, then crashed  before reaching the
second...)

Maximilian

%I A097345
%S A097345 1, 5, 29, 103, 887, 1517, 18239, 63253, 332839, 118127,
2331085, 4222975, 100309579, 184649263,
%T A097345 1710440723, 6372905521, 202804884977, 381240382217,
13667257415003, 25872280345103,
%U A097345 49119954154463, 93501887462903, 4103348710010689,
7846225754967739, 75162749477272151
%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
%C A097345 From n=9 on, the formula a(n)=A003418(n+1)*sum{k=0..n,
(2^(k+1)-1)/(k+1)} is no more correct.
The least n for which a(n) is different from A097344(n) is n=59, then
they agree again until n=1519.
- M. Hasler, Jan 25 2008
%H A097345 R. J. Mathar, <a
href="http://www.research.att.com/~njas/sequences/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 Adjacent sequences: A097342 A097343 A097344 this_sequence
A097346 A097347 A097348
%Y A097345 Sequence in context: A050409 A111937 A097344 this_sequence
A034700 A057721 A085151
%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 Maximilian F. Hasler
(Maximilian.Hasler(AT)gmail.com), Jan 25 2008