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Search: id:A097345
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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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+0
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; listen)
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OFFSET
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0,2
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COMMENT
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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
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R. J. Mathar, Notes on an attempt to prove that A097344 and A097345 are identical
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PROGRAM
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(PARI) A097345(n) = numerator(sum(k=0, n, (2^(k+1)-1)/(k+1)))
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CROSSREFS
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Cf. A097344, A134652.
Sequence in context: A050409 A111937 A139856 this_sequence A097344 A153076 A034700
Adjacent sequences: A097342 A097343 A097344 this_sequence A097346 A097347 A097348
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KEYWORD
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easy,nonn,frac
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Aug 06 2004
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EXTENSIONS
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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
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