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Search: id:A006589
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| 0, 2, 7, 19, 47, 111, 255, 575, 1279, 2815, 6143, 13311, 28671, 61439, 131071, 278527, 589823, 1245183, 2621439, 5505023, 11534335, 24117247, 50331647, 104857599, 218103807, 452984831, 939524095
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OFFSET
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-1,2
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COMMENT
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Binomial transform of [2/1, 3/2, 4/3, 5/4...] = 2/1, 7/2, 19/3, 47/4, 111/5... - Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 28 2005
Binomial transform of A087156 := [0,2,3,4,5,6,7,8,9,10,...]. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 25 2008]
Partial sums of A045623 minus 1. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 25 2009]
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REFERENCES
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W. A. Whitworth, DCC Exercises in Choice and Chance, Stechert, NY, 1945, p. 28.
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FORMULA
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G.f.: (2-3x)/((1-x)(1-2x)^2). a(n)=5*a(n-1)-8*a(n-2)+4*a(n-3). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 25 2009]
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CROSSREFS
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Sequence in context: A078842 A110299 A112304 this_sequence A099484 A018030 A051354
Adjacent sequences: A006586 A006587 A006588 this_sequence A006590 A006591 A006592
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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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