Search: id:A000062
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%I A000062 M0948 N0355
%S A000062 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,
%T A000062 36,37,38,40,41,43,44,45,47,48,50,51,52,54,55,57,58,59,61,62,64,65,66,
%U A000062 68,69,71,72,73,75,76,77,79,80,82,83,84,86,87,89,90,91,93,94,96,97,98
%N A000062 A Beatty sequence: [ n/(e-2) ].
%C A000062 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.
%D A000062 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000062 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000062 I. G. Connell, Some properties of Beatty sequences I, Canad. Math. Bull., 
               2 (1959), 190-197.
%D A000062 I. G. Connell, Some properties of Beatty sequences II, Canad. Math. Bull., 
               3 (1960), 17-22.
%D A000062 J. Lambek and L. Moser, Inverse and complementary sequences of natural 
               numbers, Amer. Math. Monthly, 61 (1954), 454-458.
%D A000062 J. Lambek and L. Moser, On some two way classifications of integers, 
               Canad. Math. Bull. 2 (1959), 85-89.
%H A000062 Christian G. Bower, <a href="b000062.txt">Table of n, a(n) for n = 1..1000</
               a>
%H A000062 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/MasterThesis.pdf">
               Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures</
               a>, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%H A000062 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/FonctionsGeneratrices.pdf">
               1031 Generating Functions and Conjectures</a>, Universit\'{e} du 
               Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
%H A000062 <a href="Sindx_Be.html#Beatty">Index entries for sequences related to 
               Beatty sequences</a>
%p A000062 for n from 1 to 200 do printf(`%d,`,floor( n/(exp(1)-2))) od:
%o A000062 (PARI) a(n)=floor( n/(exp(1)-2) ) - Hauke Worpel (thebigh(AT)outgun.com), 
               Jun 11 2008
%Y A000062 Sequence in context: A043687 A087118 A039032 this_sequence A047317 A099797 
               A004059
%Y A000062 Adjacent sequences: A000059 A000060 A000061 this_sequence A000063 A000064 
               A000065
%K A000062 nonn
%O A000062 1,2
%A A000062 N. J. A. Sloane (njas(AT)research.att.com).
%E A000062 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Feb 19 2001

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