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Search: id:A002801
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| A002801 |
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a(n) = (2n-1)a(n-1) - (n-1)a(n-2).
(Formerly M1882 N0744)
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+0
2
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| 1, 1, 2, 8, 50, 418, 4348, 54016, 779804, 12824540, 236648024, 4841363104, 108748223128, 2660609220952, 70422722065040, 2005010410792832
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Row sums of A152148. [From Paul Barry (pbarry(AT)wit.ie), Nov 26 2008]
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
Michael Z. Spivey and Laura L. Steil, The k-Binomial Transforms and the Hankel Transform, Journal of Integer Sequences, Vol. 9 (2006), Article 06.1.1.
J. J. Sylvester, Note on determinants..., Amer. J. Math., 2 (1879), circa p. 94.
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LINKS
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E. Lucas, Th\'{e}orie des Nombres. Gauthier-Villars, Paris, 1891, Vol. 1, p. 223.
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FORMULA
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Appears to be the BinomialMean transform of A007696 (see A075271). - John W. Layman (layman(AT)math.vt.edu), Oct 01 2002
E.g.f.: exp(x/2)(1-2x)^(-1/4). [From Paul Barry (pbarry(AT)wit.ie), Nov 26 2008]
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CROSSREFS
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Sequence in context: A121677 A120956 A000557 this_sequence A089104 A050398 A135081
Adjacent sequences: A002798 A002799 A002800 this_sequence A002802 A002803 A002804
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from John W. Layman (layman(AT)math.vt.edu), Oct 01 2002
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