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Search: id:A000210
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| A000210 |
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A Beatty sequence: [ n (e-1) ].
(Formerly M2393 N0950)
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+0
6
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| 1, 3, 5, 6, 8, 10, 12, 13, 15, 17, 18, 20, 22, 24, 25, 27, 29, 30, 32, 34, 36, 37, 39, 41, 42, 44, 46, 48, 49, 51, 53, 54, 56, 58, 60, 61, 63, 65, 67, 68, 70, 72, 73, 75, 77, 79, 80, 82, 84, 85, 87, 89, 91, 92, 94, 96, 97, 99, 101, 103, 104, 106, 108, 109, 111, 113, 115, 116
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The first 38 terms coincide with the corresponding terms of A082977, i.e. numbers that are congruent to {0, 1, 3, 5, 6, 8, 10} mod 12. - Giovanni Resta (g.resta(AT)iit.cnr.it), Mar 24 2006
The g.f. (2*z**4+z+1)*(z**2+z+1)/(z**6+z**5+z**4+z**3+z**2+z+1)/(z-1)**2 conjectured by S. Plouffe in his 1992 dissertation is wrong.
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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).
I. G. Connell, Some properties of Beatty sequences II, Canad. Math. Bull., 3 (1960), 17-22.
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LINKS
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
Index entries for sequences related to Beatty sequences
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MAPLE
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(Maple) a := n-> floor (n*(exp(1)-1)): seq (a(n), n=1..200); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 25 2008]
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CROSSREFS
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Sequence in context: A139437 A083042 A082977 this_sequence A022838 A047329 A120243
Adjacent sequences: A000207 A000208 A000209 this_sequence A000211 A000212 A000213
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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 James A. Sellers (sellersj(AT)math.psu.edu), Jul 06 2000
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