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Search: id:A000062
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| A000062 |
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A Beatty sequence: [ n/(e-2) ].
(Formerly M0948 N0355)
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+0
1
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| 1, 2, 4, 5, 6, 8, 9, 11, 12, 13, 15, 16, 18, 19, 20, 22, 23, 25, 26, 27, 29, 30, 32, 33, 34, 36, 37, 38, 40, 41, 43, 44, 45, 47, 48, 50, 51, 52, 54, 55, 57, 58, 59, 61, 62, 64, 65, 66, 68, 69, 71, 72, 73, 75, 76, 77, 79, 80, 82, 83, 84, 86, 87, 89, 90, 91, 93, 94, 96, 97, 98
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The g.f. (1+z+2*z**2+z**3+z**4+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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I. G. Connell, Some properties of Beatty sequences I, Canad. Math. Bull., 2 (1959), 190-197.
I. G. Connell, Some properties of Beatty sequences II, Canad. Math. Bull., 3 (1960), 17-22.
J. Lambek and L. Moser, Inverse and complementary sequences of natural numbers, Amer. Math. Monthly, 61 (1954), 454-458.
J. Lambek and L. Moser, On some two way classifications of integers, Canad. Math. Bull. 2 (1959), 85-89.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Christian G. Bower, Table of n, a(n) for n = 1..1000
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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for n from 1 to 200 do printf(`%d, `, floor( n/(exp(1)-2))) od:
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PROGRAM
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(PARI) a(n)=floor( n/(exp(1)-2) ) - Hauke Worpel (thebigh(AT)outgun.com), Jun 11 2008
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CROSSREFS
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Sequence in context: A043687 A087118 A039032 this_sequence A047317 A099797 A004059
Adjacent sequences: A000059 A000060 A000061 this_sequence A000063 A000064 A000065
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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), Feb 19 2001
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