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 A097345 Numerators of the partial sums of the binomial transform of 1/(n+1). 4
 1, 5, 29, 103, 887, 1517, 18239, 63253, 332839, 118127, 2331085, 4222975, 100309579, 184649263, 1710440723, 6372905521, 202804884977, 381240382217, 13667257415003, 25872280345103, 49119954154463, 93501887462903 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Numerators in the expansion of log((1-x)/(1-2x)) / (1-x) are 0,1,5,29,.. - Paul Barry, Feb 09 2005 Is this identical to A097344? - Aaron Gulliver, Jul 19 2007. The answer turns out to be No - see A134652. 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 LINKS MATHEMATICA Table[ Sum[(2^(k+1)-1)/(k+1), {k, 0, n}] // Numerator, {n, 0, 21}] (* Jean-François Alcover, Oct 14 2013, after Pari *) PROG (PARI) A097345(n) = numerator(sum(k=0, n, (2^(k+1)-1)/(k+1))) CROSSREFS Cf. A097344, A134652. Sequence in context: A264750 A205172 A139856 * A097344 A153076 A034700 Adjacent sequences:  A097342 A097343 A097344 * A097346 A097347 A097348 KEYWORD easy,nonn,frac AUTHOR Paul Barry, Aug 06 2004 EXTENSIONS Edited and corrected by Daniel Glasscock (glasscock(AT)rice.edu), Jan 04 2008 and M. F. Hasler, Jan 25 2008 Moved comment concerning numerators of the logarithm from A097344 to here where it is correct - R. J. Mathar, Mar 04 2010 STATUS approved

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Last modified December 14 05:17 EST 2018. Contains 318090 sequences. (Running on oeis4.)