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A097345
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Numerators of the partial sums of the binomial transform of 1/(n+1).
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4
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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; internal format)
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OFFSET
| 0,2
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COMMENTS
| Numerators in the expansion of ln((1-x)/(1-2x)) / (1-x) are 0,1,5,29,.. - Paul Barry (pbarry(AT)wit.ie), 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
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LINKS
| R. J. Mathar, Notes on an attempt to prove that A097344 and A097345 are identical
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PROG
| (PARI) A097345(n) = numerator(sum(k=0, n, (2^(k+1)-1)/(k+1)))
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CROSSREFS
| Cf. A097344, A134652.
Sequence in context: A197276 A205172 A139856 * A097344 A153076 A034700
Adjacent sequences: A097342 A097343 A097344 * A097346 A097347 A097348
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KEYWORD
| easy,nonn,frac
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Aug 06 2004
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EXTENSIONS
| 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
Moved comment concerning numerators of the logarithm from A097344 to here where it is correct - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 04 2010
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